121971062400 has 1536 divisors, whose sum is σ = 498310963200. Its totient is φ = 25878528000.

The previous prime is 121971062359. The next prime is 121971062441. The reversal of 121971062400 is 4260179121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121971062359) and next prime (121971062441).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2301340774 + ... + 2301340826.

It is an arithmetic number, because the mean of its divisors is an integer number (324421200).

Almost surely, 2^121971062400 is an apocalyptic number.

121971062400 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 121971062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249155481600).

121971062400 is an abundant number, since it is smaller than the sum of its proper divisors (376339900800).

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

121971062400 is a wasteful number, since it uses less digits than its factorization.

121971062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 121971062400 in words is "one hundred twenty-one billion, nine hundred seventy-one million, sixty-two thousand, four hundred".