122279798464032 has 1536 divisors, whose sum is σ = 396707801333760. Its totient is φ = 32565141504000.

The previous prime is 122279798463881. The next prime is 122279798464097. The reversal of 122279798464032 is 230464897972221.

It is a super-2 number, since 2×122279798464032² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 267570674748 + ... + 267570675204.

It is an arithmetic number, because the mean of its divisors is an integer number (258273308160).

Almost surely, 2^{122279798464032} is an apocalyptic number.

122279798464032 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 122279798464032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198353900666880).

122279798464032 is an abundant number, since it is smaller than the sum of its proper divisors (274428002869728).

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

122279798464032 is a wasteful number, since it uses less digits than its factorization.

122279798464032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 122279798464032 in words is "one hundred twenty-two trillion, two hundred seventy-nine billion, seven hundred ninety-eight million, four hundred sixty-four thousand, thirty-two".