121214923200 has 2016 divisors, whose sum is σ = 572420902400. Its totient is φ = 24365629440.

The previous prime is 121214923189. The next prime is 121214923201. The reversal of 121214923200 is 2329412121.

121214923200 is a `hidden beast` number, since 121 + 21 + 492 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121214923201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1660478364 + ... + 1660478436.

Almost surely, 2^121214923200 is an apocalyptic number.

121214923200 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 121214923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286210451200).

121214923200 is an abundant number, since it is smaller than the sum of its proper divisors (451205979200).

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

121214923200 is a wasteful number, since it uses less digits than its factorization.

121214923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 121214923200 in words is "one hundred twenty-one billion, two hundred fourteen million, nine hundred twenty-three thousand, two hundred".