122773778809920 has 1120 divisors, whose sum is σ = 530646119612928. Its totient is φ = 26335956860928.

The previous prime is 122773778809817. The next prime is 122773778809951. The reversal of 122773778809920 is 29908877377221.

122773778809920 is a `hidden beast` number, since 1 + 2 + 2 + 77 + 377 + 8 + 80 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×122773778809920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 220897812 + ... + 221452908.

Almost surely, 2^{122773778809920} is an apocalyptic number.

122773778809920 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 122773778809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265323059806464).

122773778809920 is an abundant number, since it is smaller than the sum of its proper divisors (407872340803008).

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

122773778809920 is a wasteful number, since it uses less digits than its factorization.

122773778809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555209 (or 555190 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 72.

The spelling of 122773778809920 in words is "one hundred twenty-two trillion, seven hundred seventy-three billion, seven hundred seventy-eight million, eight hundred nine thousand, nine hundred twenty".