121701966400 has 504 divisors, whose sum is σ = 372267601920. Its totient is φ = 38908477440.

The previous prime is 121701966371. The next prime is 121701966403. The reversal of 121701966400 is 4669107121.

It is a super-2 number, since 2×121701966400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121701966400.

It is not an unprimeable number, because it can be changed into a prime (121701966403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169265241 + ... + 169265959.

Almost surely, 2^121701966400 is an apocalyptic number.

121701966400 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 121701966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186133800960).

121701966400 is an abundant number, since it is smaller than the sum of its proper divisors (250565635520).

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

121701966400 is a wasteful number, since it uses less digits than its factorization.

121701966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 121701966400 in words is "one hundred twenty-one billion, seven hundred one million, nine hundred sixty-six thousand, four hundred".