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121072248 = 233211592591
BaseRepresentation
bin1110011011101…
…10101001111000
322102211002220100
413031312221320
5221443302443
620002555400
73000045213
oct715665170
9272732810
10121072248
1162384410
1234668b60
131c110cab
141211877a
15a9683d3
hex7376a78

121072248 has 96 divisors (see below), whose sum is σ = 363916800. Its totient is φ = 36052800.

The previous prime is 121072241. The next prime is 121072271. The reversal of 121072248 is 842270121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121072241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45433 + ... + 48023.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2121072248 is an apocalyptic number.

121072248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121072248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181958400).

121072248 is an abundant number, since it is smaller than the sum of its proper divisors (242844552).

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

121072248 is a wasteful number, since it uses less digits than its factorization.

121072248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 121072248 is about 11003.2835099347. The cubic root of 121072248 is about 494.7071668667.

The spelling of 121072248 in words is "one hundred twenty-one million, seventy-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 59 66 72 88 99 118 132 177 198 236 264 354 396 472 531 649 708 792 1062 1298 1416 1947 2124 2591 2596 3894 4248 5182 5192 5841 7773 7788 10364 11682 15546 15576 20728 23319 23364 28501 31092 46638 46728 57002 62184 85503 93276 114004 152869 171006 186552 228008 256509 305738 342012 458607 513018 611476 684024 917214 1026036 1222952 1375821 1681559 1834428 2052072 2751642 3363118 3668856 5044677 5503284 6726236 10089354 11006568 13452472 15134031 20178708 30268062 40357416 60536124 121072248