122781954656700 has 360 divisors, whose sum is σ = 405595061348400. Its totient is φ = 32118155596800.

The previous prime is 122781954656689. The next prime is 122781954656701. The reversal of 122781954656700 is 7656459187221.

It is a happy number.

122781954656700 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 8 + 19 + 54 + 6 + 567 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122781954656701) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2632014976 + ... + 2632061624.

It is an arithmetic number, because the mean of its divisors is an integer number (1126652948190).

Almost surely, 2^{122781954656700} is an apocalyptic number.

122781954656700 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 122781954656700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202797530674200).

122781954656700 is an abundant number, since it is smaller than the sum of its proper divisors (282813106691700).

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

122781954656700 is a wasteful number, since it uses less digits than its factorization.

122781954656700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52859 (or 52843 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 122781954656700 in words is "one hundred twenty-two trillion, seven hundred eighty-one billion, nine hundred fifty-four million, six hundred fifty-six thousand, seven hundred".