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121838388 = 223717412081
BaseRepresentation
bin1110100001100…
…01101100110100
322111021000211220
413100301230310
5222142312023
620031230340
73006415650
oct720615464
9274230756
10121838388
1162857a91
12349783b0
131c31b929
1412277a60
15aa6a3e3
hex7431b34

121838388 has 96 divisors (see below), whose sum is σ = 352574208. Its totient is φ = 31948800.

The previous prime is 121838377. The next prime is 121838399. The reversal of 121838388 is 883838121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121838377) and next prime (121838399).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57508 + ... + 59588.

It is an arithmetic number, because the mean of its divisors is an integer number (3672648).

Almost surely, 2121838388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121838388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176287104).

121838388 is an abundant number, since it is smaller than the sum of its proper divisors (230735820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121838388 is a wasteful number, since it uses less digits than its factorization.

121838388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2151 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 121838388 is about 11038.0427612870. The cubic root of 121838388 is about 495.7484687624.

The spelling of 121838388 in words is "one hundred twenty-one million, eight hundred thirty-eight thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 41 42 51 68 82 84 102 119 123 164 204 238 246 287 357 476 492 574 697 714 861 1148 1394 1428 1722 2081 2091 2788 3444 4162 4182 4879 6243 8324 8364 9758 12486 14567 14637 19516 24972 29134 29274 35377 43701 58268 58548 70754 85321 87402 106131 141508 170642 174804 212262 247639 255963 341284 424524 495278 511926 597247 742917 990556 1023852 1194494 1450457 1485834 1791741 2388988 2900914 2971668 3583482 4351371 5801828 7166964 8702742 10153199 17405484 20306398 30459597 40612796 60919194 121838388