122052356634240 has 1024 divisors, whose sum is σ = 443568787200000. Its totient is φ = 31709836247040.

The previous prime is 122052356634217. The next prime is 122052356634259. The reversal of 122052356634240 is 42436653250221.

122052356634240 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 5 + 2 + 3 + 5 + 6 + 634 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×122052356634240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 36996772111 + ... + 36996775409.

It is an arithmetic number, because the mean of its divisors is an integer number (433172643750).

Almost surely, 2^{122052356634240} is an apocalyptic number.

122052356634240 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 122052356634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221784393600000).

122052356634240 is an abundant number, since it is smaller than the sum of its proper divisors (321516430565760).

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

122052356634240 is a wasteful number, since it uses less digits than its factorization.

122052356634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 122052356634240 in words is "one hundred twenty-two trillion, fifty-two billion, three hundred fifty-six million, six hundred thirty-four thousand, two hundred forty".