122045540720400 has 540 divisors, whose sum is σ = 490036974532560. Its totient is φ = 28029595968000.

The previous prime is 122045540720393. The next prime is 122045540720413. The reversal of 122045540720400 is 4027045540221.

122045540720400 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 5 + 540 + 72 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×122045540720400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 903295 + ... + 15649505.

It is an arithmetic number, because the mean of its divisors is an integer number (907475878764).

Almost surely, 2^{122045540720400} is an apocalyptic number.

122045540720400 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 122045540720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245018487266280).

122045540720400 is an abundant number, since it is smaller than the sum of its proper divisors (367991433812160).

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

122045540720400 is a wasteful number, since it uses less digits than its factorization.

122045540720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14746276 (or 14746251 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 122045540720400 in words is "one hundred twenty-two trillion, forty-five billion, five hundred forty million, seven hundred twenty thousand, four hundred".