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122011434 = 2341017457
BaseRepresentation
bin1110100010110…
…11111100101010
322111120211020000
413101123330222
5222213331214
620035043430
73011036316
oct721337452
9274524200
10122011434
1162965aa6
1234a40576
131c37c61c
14122c0b46
15aaa1809
hex745bf2a

122011434 has 40 divisors (see below), whose sum is σ = 276139908. Its totient is φ = 40262400.

The previous prime is 122011423. The next prime is 122011507. The reversal of 122011434 is 434110221.

122011434 is a `hidden beast` number, since 1 + 220 + 11 + 434 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117614025 + 4397409 = 10845^2 + 2097^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12634 + ... + 20090.

Almost surely, 2122011434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122011434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138069954).

122011434 is an abundant number, since it is smaller than the sum of its proper divisors (154128474).

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

122011434 is a wasteful number, since it uses less digits than its factorization.

122011434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122011434 is about 11045.8785979206. The cubic root of 122011434 is about 495.9830601438.

Adding to 122011434 its reverse (434110221), we get a palindrome (556121655).

The spelling of 122011434 in words is "one hundred twenty-two million, eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1818 2727 5454 7457 8181 14914 16362 22371 44742 67113 134226 201339 402678 604017 753157 1208034 1506314 2259471 4518942 6778413 13556826 20335239 40670478 61005717 122011434