121351290984000 has 1344 divisors, whose sum is σ = 541549822574592. Its totient is φ = 25199921664000.

The previous prime is 121351290983981. The next prime is 121351290984013. The reversal of 121351290984000 is 489092153121.

121351290984000 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 512 + 9 + 0 + 98 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×121351290984000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10106705997 + ... + 10106718003.

Almost surely, 2^{121351290984000} is an apocalyptic number.

121351290984000 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 121351290984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270774911287296).

121351290984000 is an abundant number, since it is smaller than the sum of its proper divisors (420198531590592).

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

121351290984000 is a wasteful number, since it uses less digits than its factorization.

121351290984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13881 (or 13858 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 121351290984000 in words is "one hundred twenty-one trillion, three hundred fifty-one billion, two hundred ninety million, nine hundred eighty-four thousand".