122216756040 has 80 divisors (see below), whose sum is σ = 410784107580. Its totient is φ = 32591134080.

The previous prime is 122216756003. The next prime is 122216756059. The reversal of 122216756040 is 40657612221.

It is a happy number.

122216756040 is a `hidden beast` number, since 1 + 22 + 21 + 6 + 7 + 5 + 604 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120024830916 + 2191925124 = 346446^2 + 46818^2 .

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 = 122216755986 and 122216756004.

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, 18857371 + ... + 18863850.

Almost surely, 2^122216756040 is an apocalyptic number.

122216756040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122216756040 is an abundant number, since it is smaller than the sum of its proper divisors (288567351540).

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

122216756040 is a wasteful number, since it uses less digits than its factorization.

122216756040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37721244 (or 37721231 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 122216756040 in words is "one hundred twenty-two billion, two hundred sixteen million, seven hundred fifty-six thousand, forty".