122682958020 has 360 divisors, whose sum is σ = 443754222912. Its totient is φ = 27908919360.

The previous prime is 122682957959. The next prime is 122682958031. The reversal of 122682958020 is 20859286221.

122682958020 is a `hidden beast` number, since 1 + 2 + 2 + 68 + 2 + 9 + 580 + 2 + 0 = 666.

It is a super-2 number, since 2×122682958020² (a number of 23 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 119 ways as a sum of consecutive naturals, for example, 581435715 + ... + 581435925.

Almost surely, 2^122682958020 is an apocalyptic number.

122682958020 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 122682958020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221877111456).

122682958020 is an abundant number, since it is smaller than the sum of its proper divisors (321071264892).

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

122682958020 is an frugal number, since it uses more digits than its factorization.

122682958020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 122682958020 in words is "one hundred twenty-two billion, six hundred eighty-two million, nine hundred fifty-eight thousand, twenty".