121977918016752 has 480 divisors, whose sum is σ = 372736600473600. Its totient is φ = 34269481451520.

The previous prime is 121977918016751. The next prime is 121977918016811. The reversal of 121977918016752 is 257610819779121.

It is a happy number.

It is a super-2 number, since 2×121977918016752² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121977918016751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15946906624 + ... + 15946914272.

It is an arithmetic number, because the mean of its divisors is an integer number (776534584320).

Almost surely, 2^{121977918016752} is an apocalyptic number.

121977918016752 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 121977918016752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186368300236800).

121977918016752 is an abundant number, since it is smaller than the sum of its proper divisors (250758682456848).

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

121977918016752 is a wasteful number, since it uses less digits than its factorization.

121977918016752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 66.

The spelling of 121977918016752 in words is "one hundred twenty-one trillion, nine hundred seventy-seven billion, nine hundred eighteen million, sixteen thousand, seven hundred fifty-two".