122967936 has 512 divisors, whose sum is σ = 493516800. Its totient is φ = 29196288.

The previous prime is 122967899. The next prime is 122967937. The reversal of 122967936 is 639769221.

It is a happy number.

It is a super-2 number, since 2×122967936² = 30242226568200192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122967891 and 122967900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122967937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5346421 + ... + 5346443.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^122967936 is an apocalyptic number.

122967936 is a gapful number since it is divisible by the number (16) 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 122967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

122967936 is an abundant number, since it is smaller than the sum of its proper divisors (370548864).

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

122967936 is a wasteful number, since it uses less digits than its factorization.

122967936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 122967936 is about 11089.0908554308. The cubic root of 122967936 is about 497.2757653819.

The spelling of 122967936 in words is "one hundred twenty-two million, nine hundred sixty-seven thousand, nine hundred thirty-six".