122162040 has 512 divisors, whose sum is σ = 551577600. Its totient is φ = 23224320.

The previous prime is 122161997. The next prime is 122162059. The reversal of 122162040 is 40261221.

122162040 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 620 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1081024 + ... + 1081136.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^122162040 is an apocalyptic number.

122162040 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 122162040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

122162040 is an abundant number, since it is smaller than the sum of its proper divisors (429415560).

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

122162040 is a wasteful number, since it uses less digits than its factorization.

122162040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

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

The square root of 122162040 is about 11052.6937892986. The cubic root of 122162040 is about 496.1870500722.

The spelling of 122162040 in words is "one hundred twenty-two million, one hundred sixty-two thousand, forty".