122123928658032 has 640 divisors, whose sum is σ = 446897511014400. Its totient is φ = 31084584136704.

The previous prime is 122123928658009. The next prime is 122123928658033. The reversal of 122123928658032 is 230856829321221.

It is a happy number.

122123928658032 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 3 + 9 + 28 + 6 + 580 + 32 = 666.

It is a super-2 number, since 2×122123928658032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 122123928658032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122123928658033) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1135908823 + ... + 1136016329.

It is an arithmetic number, because the mean of its divisors is an integer number (698277360960).

Almost surely, 2^{122123928658032} is an apocalyptic number.

122123928658032 is a gapful number since it is divisible by the number (12) 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 122123928658032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223448755507200).

122123928658032 is an abundant number, since it is smaller than the sum of its proper divisors (324773582356368).

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

122123928658032 is a wasteful number, since it uses less digits than its factorization.

122123928658032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108730 (or 108718 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 122123928658032 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, nine hundred twenty-eight million, six hundred fifty-eight thousand, thirty-two".