121077682053120 has 2688 divisors, whose sum is σ = 503563825382400. Its totient is φ = 27483042742272.

The previous prime is 121077682053089. The next prime is 121077682053143. The reversal of 121077682053120 is 21350286770121.

121077682053120 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 7 + 76 + 8 + 20 + 531 + 20 = 666.

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 191 ways as a sum of consecutive naturals, for example, 168397332121 + ... + 168397332839.

Almost surely, 2^{121077682053120} is an apocalyptic number.

121077682053120 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 121077682053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251781912691200).

121077682053120 is an abundant number, since it is smaller than the sum of its proper divisors (382486143329280).

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

121077682053120 is a wasteful number, since it uses less digits than its factorization.

121077682053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 121077682053120 in words is "one hundred twenty-one trillion, seventy-seven billion, six hundred eighty-two million, fifty-three thousand, one hundred twenty".