121685270400 has 576 divisors, whose sum is σ = 442834938000. Its totient is φ = 31812157440.

The previous prime is 121685270359. The next prime is 121685270401. The reversal of 121685270400 is 4072586121.

121685270400 is a `hidden beast` number, since 121 + 6 + 8 + 527 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×121685270400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121685270401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 452361466 + ... + 452361734.

Almost surely, 2^121685270400 is an apocalyptic number.

121685270400 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 121685270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221417469000).

121685270400 is an abundant number, since it is smaller than the sum of its proper divisors (321149667600).

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

121685270400 is a wasteful number, since it uses less digits than its factorization.

121685270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 121685270400 in words is "one hundred twenty-one billion, six hundred eighty-five million, two hundred seventy thousand, four hundred".