121728614400 has 540 divisors, whose sum is σ = 452565221472. Its totient is φ = 32434421760.

The previous prime is 121728614347. The next prime is 121728614443. The reversal of 121728614400 is 4416827121.

It is a happy number.

121728614400 is a `hidden beast` number, since 1 + 2 + 17 + 28 + 614 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99532189 + ... + 99533411.

Almost surely, 2^121728614400 is an apocalyptic number.

121728614400 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 121728614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226282610736).

121728614400 is an abundant number, since it is smaller than the sum of its proper divisors (330836607072).

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

121728614400 is an frugal number, since it uses more digits than its factorization.

121728614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 121728614400 in words is "one hundred twenty-one billion, seven hundred twenty-eight million, six hundred fourteen thousand, four hundred".