121990611244096 has 189 divisors, whose sum is σ = 284015232144549. Its totient is φ = 51836623792128.

The previous prime is 121990611243997. The next prime is 121990611244121. The reversal of 121990611244096 is 690442116099121.

The square root of 121990611244096 is 11044936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12393497793600 + 109597113450496 = 3520440^2 + 10468864^2 .

It is a super-2 number, since 2×121990611244096² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78551584056 + ... + 78551585608.

Almost surely, 2^{121990611244096} is an apocalyptic number.

121990611244096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121990611244096 is the 11044936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121990611244096

121990611244096 is an abundant number, since it is smaller than the sum of its proper divisors (162024620900453).

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

121990611244096 is an frugal number, since it uses more digits than its factorization.

121990611244096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 55.

The spelling of 121990611244096 in words is "one hundred twenty-one trillion, nine hundred ninety billion, six hundred eleven million, two hundred forty-four thousand, ninety-six".