121901098334400 has 2016 divisors, whose sum is σ = 573628943826432. Its totient is φ = 23770113638400.

The previous prime is 121901098334363. The next prime is 121901098334419. The reversal of 121901098334400 is 4433890109121.

121901098334400 is a `hidden beast` number, since 1 + 2 + 1 + 90 + 1 + 0 + 98 + 33 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

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, 6540801882 + ... + 6540820518.

Almost surely, 2^{121901098334400} is an apocalyptic number.

121901098334400 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 121901098334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286814471913216).

121901098334400 is an abundant number, since it is smaller than the sum of its proper divisors (451727845492032).

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

121901098334400 is a wasteful number, since it uses less digits than its factorization.

121901098334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19047 (or 19029 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 121901098334400 in words is "one hundred twenty-one trillion, nine hundred one billion, ninety-eight million, three hundred thirty-four thousand, four hundred".