121251271680 has 880 divisors, whose sum is σ = 541851970176. Its totient is φ = 25188433920.

The previous prime is 121251271667. The next prime is 121251271681. The reversal of 121251271680 is 86172152121.

It is a happy number.

121251271680 is a `hidden beast` number, since 1 + 2 + 12 + 512 + 71 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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 (121251271681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31931542 + ... + 31935338.

Almost surely, 2^121251271680 is an apocalyptic number.

121251271680 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 121251271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270925985088).

121251271680 is an abundant number, since it is smaller than the sum of its proper divisors (420600698496).

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

121251271680 is a wasteful number, since it uses less digits than its factorization.

121251271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 121251271680 in words is "one hundred twenty-one billion, two hundred fifty-one million, two hundred seventy-one thousand, six hundred eighty".