122877257712500 has 72 divisors (see below), whose sum is σ = 268838606087352. Its totient is φ = 49139600400000.

The previous prime is 122877257712497. The next prime is 122877257712533. The reversal of 122877257712500 is 5217752778221.

It can be written as a sum of positive squares in 12 ways, for example, as 121817399816464 + 1059857896036 = 11037092^2 + 1029494^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53334410 + ... + 55590590.

It is an arithmetic number, because the mean of its divisors is an integer number (3733869528991).

Almost surely, 2^{122877257712500} is an apocalyptic number.

122877257712500 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 122877257712500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134419303043676).

122877257712500 is an abundant number, since it is smaller than the sum of its proper divisors (145961348374852).

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

122877257712500 is an equidigital number, since it uses as much as digits as its factorization.

122877257712500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260567 (or 2260545 counting only the distinct ones).

The product of its (nonzero) digits is 7683200, while the sum is 56.

The spelling of 122877257712500 in words is "one hundred twenty-two trillion, eight hundred seventy-seven billion, two hundred fifty-seven million, seven hundred twelve thousand, five hundred".