122936940 has 240 divisors, whose sum is σ = 454208832. Its totient is φ = 27247104.

The previous prime is 122936921. The next prime is 122936941. The reversal of 122936940 is 49639221.

It is a super-2 number, since 2×122936940² = 30226982433127200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122936895 and 122936904.

It is not an unprimeable number, because it can be changed into a prime (122936941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 419434 + ... + 419726.

Almost surely, 2^122936940 is an apocalyptic number.

122936940 is a gapful number since it is divisible by the number (10) 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 122936940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227104416).

122936940 is an abundant number, since it is smaller than the sum of its proper divisors (331271892).

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

122936940 is a wasteful number, since it uses less digits than its factorization.

122936940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 122936940 is about 11087.6931775731. The cubic root of 122936940 is about 497.2339798146.

The spelling of 122936940 in words is "one hundred twenty-two million, nine hundred thirty-six thousand, nine hundred forty".