121671665174400 has 384 divisors, whose sum is σ = 442455777267840. Its totient is φ = 29140783718400.

The previous prime is 121671665174387. The next prime is 121671665174407. The reversal of 121671665174400 is 4471566176121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×121671665174400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121671665174407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1823874 + ... + 15705726.

It is an arithmetic number, because the mean of its divisors is an integer number (1152228586635).

Almost surely, 2^{121671665174400} is an apocalyptic number.

121671665174400 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 121671665174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221227888633920).

121671665174400 is an abundant number, since it is smaller than the sum of its proper divisors (320784112093440).

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

121671665174400 is a wasteful number, since it uses less digits than its factorization.

121671665174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13881974 (or 13881957 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 121671665174400 in words is "one hundred twenty-one trillion, six hundred seventy-one billion, six hundred sixty-five million, one hundred seventy-four thousand, four hundred".