122040476421120 has 264 divisors, whose sum is σ = 424439112324240. Its totient is φ = 32423141867520.

The previous prime is 122040476421011. The next prime is 122040476421181. The reversal of 122040476421120 is 21124674040221.

122040476421120 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 0 + 4 + 7 + 642 + 1 + 1 + 2 + 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 23 ways as a sum of consecutive naturals, for example, 7472755 + ... + 17318285.

Almost surely, 2^{122040476421120} is an apocalyptic number.

122040476421120 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 122040476421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212219556162120).

122040476421120 is an abundant number, since it is smaller than the sum of its proper divisors (302398635903120).

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

122040476421120 is a wasteful number, since it uses less digits than its factorization.

122040476421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9845831 (or 9845810 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 122040476421120 in words is "one hundred twenty-two trillion, forty billion, four hundred seventy-six million, four hundred twenty-one thousand, one hundred twenty".