121820952115800 has 1344 divisors, whose sum is σ = 499575202283520. Its totient is φ = 27036409236480.

The previous prime is 121820952115789. The next prime is 121820952115823. The reversal of 121820952115800 is 8511259028121.

121820952115800 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 2 + 0 + 9 + 52 + 11 + 580 + 0 = 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 335 ways as a sum of consecutive naturals, for example, 6091951402 + ... + 6091971398.

Almost surely, 2^{121820952115800} is an apocalyptic number.

121820952115800 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 121820952115800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249787601141760).

121820952115800 is an abundant number, since it is smaller than the sum of its proper divisors (377754250167720).

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

121820952115800 is a wasteful number, since it uses less digits than its factorization.

121820952115800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20212 (or 20188 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 121820952115800 in words is "one hundred twenty-one trillion, eight hundred twenty billion, nine hundred fifty-two million, one hundred fifteen thousand, eight hundred".