121891830048000 has 360 divisors, whose sum is σ = 453597318294120. Its totient is φ = 32504487321600.

The previous prime is 121891830047993. The next prime is 121891830048019. The reversal of 121891830048000 is 840038198121.

121891830048000 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 91 + 83 + 0 + 0 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34150091940864 + 87741738107136 = 5843808^2 + 9367056^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 20921085 + ... + 26105084.

It is an arithmetic number, because the mean of its divisors is an integer number (1259992550817).

Almost surely, 2^{121891830048000} is an apocalyptic number.

121891830048000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121891830048000 is an abundant number, since it is smaller than the sum of its proper divisors (331705488246120).

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

121891830048000 is an frugal number, since it uses more digits than its factorization.

121891830048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47026212 (or 47026179 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 121891830048000 in words is "one hundred twenty-one trillion, eight hundred ninety-one billion, eight hundred thirty million, forty-eight thousand".