122067025920 has 952 divisors, whose sum is σ = 508861661856. Its totient is φ = 27518828544.

The previous prime is 122067025891. The next prime is 122067025961. The reversal of 122067025920 is 29520760221.

It is a happy number.

122067025920 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 67 + 0 + 2 + 592 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1672151004 + ... + 1672151076.

Almost surely, 2^122067025920 is an apocalyptic number.

122067025920 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 122067025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254430830928).

122067025920 is an abundant number, since it is smaller than the sum of its proper divisors (386794635936).

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

122067025920 is an frugal number, since it uses more digits than its factorization.

122067025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 122067025920 in words is "one hundred twenty-two billion, sixty-seven million, twenty-five thousand, nine hundred twenty".