121191337325520 has 1440 divisors, whose sum is σ = 522466037533440. Its totient is φ = 24891950039040.

The previous prime is 121191337325483. The next prime is 121191337325561. The reversal of 121191337325520 is 25523733191121.

121191337325520 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 9 + 1 + 3 + 373 + 255 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41746928389 + ... + 41746931291.

It is an arithmetic number, because the mean of its divisors is an integer number (362823637176).

Almost surely, 2^{121191337325520} is an apocalyptic number.

121191337325520 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 121191337325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233018766720).

121191337325520 is an abundant number, since it is smaller than the sum of its proper divisors (401274700207920).

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

121191337325520 is a wasteful number, since it uses less digits than its factorization.

121191337325520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 121191337325520 in words is "one hundred twenty-one trillion, one hundred ninety-one billion, three hundred thirty-seven million, three hundred twenty-five thousand, five hundred twenty".