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122968692 = 22357113153
BaseRepresentation
bin1110101010001…
…01101001110100
322120101110100000
413111011221310
5222434444232
620111351300
73022134210
oct725055164
9276343300
10122968692
116345a220
1235222530
131c626252
141248d940
15abe027c
hex7545a74

122968692 has 288 divisors, whose sum is σ = 422682624. Its totient is φ = 30326400.

The previous prime is 122968679. The next prime is 122968693. The reversal of 122968692 is 296869221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122968693) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2320138 + ... + 2320190.

It is an arithmetic number, because the mean of its divisors is an integer number (1467648).

Almost surely, 2122968692 is an apocalyptic number.

122968692 is a gapful number since it is divisible by the number (12) 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 122968692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312).

122968692 is an abundant number, since it is smaller than the sum of its proper divisors (299713932).

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

122968692 is a wasteful number, since it uses less digits than its factorization.

122968692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 122968692 is about 11089.1249429340. The cubic root of 122968692 is about 497.2767844543.

The spelling of 122968692 in words is "one hundred twenty-two million, nine hundred sixty-eight thousand, six hundred ninety-two".