121356919296 has 120 divisors (see below), whose sum is σ = 355043137020. Its totient is φ = 39898054656.

The previous prime is 121356919259. The next prime is 121356919319. The reversal of 121356919296 is 692919653121.

121356919296 is a `hidden beast` number, since 1 + 213 + 56 + 91 + 9 + 296 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121271097600 + 85821696 = 348240^2 + 9264^2 .

It is a super-2 number, since 2×121356919296² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156000 + ... + 516768.

Almost surely, 2^121356919296 is an apocalyptic number.

121356919296 is a gapful number since it is divisible by the number (16) 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 121356919296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177521568510).

121356919296 is an abundant number, since it is smaller than the sum of its proper divisors (233686217724).

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

121356919296 is an equidigital number, since it uses as much as digits as its factorization.

121356919296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360866 (or 360847 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 54.

The spelling of 121356919296 in words is "one hundred twenty-one billion, three hundred fifty-six million, nine hundred nineteen thousand, two hundred ninety-six".