121629081600 has 1152 divisors, whose sum is σ = 496941943680. Its totient is φ = 29302456320.

The previous prime is 121629081523. The next prime is 121629081617. The reversal of 121629081600 is 6180926121.

121629081600 is a `hidden beast` number, since 1 + 21 + 6 + 29 + 0 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2587852777 + ... + 2587852823.

It is an arithmetic number, because the mean of its divisors is an integer number (431373215).

Almost surely, 2^121629081600 is an apocalyptic number.

121629081600 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 121629081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248470971840).

121629081600 is an abundant number, since it is smaller than the sum of its proper divisors (375312862080).

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

121629081600 is an frugal number, since it uses more digits than its factorization.

121629081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 121629081600 in words is "one hundred twenty-one billion, six hundred twenty-nine million, eighty-one thousand, six hundred".