121777696512 has 432 divisors, whose sum is σ = 385965740160. Its totient is φ = 38187749376.

The previous prime is 121777696483. The next prime is 121777696517. The reversal of 121777696512 is 215696777121.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×121777696512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121777696517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232844283 + ... + 232844805.

Almost surely, 2^121777696512 is an apocalyptic number.

121777696512 is a gapful number since it is divisible by the number (12) 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 121777696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192982870080).

121777696512 is an abundant number, since it is smaller than the sum of its proper divisors (264188043648).

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

121777696512 is an equidigital number, since it uses as much as digits as its factorization.

121777696512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 744 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The spelling of 121777696512 in words is "one hundred twenty-one billion, seven hundred seventy-seven million, six hundred ninety-six thousand, five hundred twelve".