121649472000 has 1280 divisors, whose sum is σ = 523959321600. Its totient is φ = 27249868800.

The previous prime is 121649471989. The next prime is 121649472041. The reversal of 121649472000 is 274946121.

It is a happy number.

121649472000 is a `hidden beast` number, since 1 + 2 + 1 + 649 + 4 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 1076543944 + ... + 1076544056.

It is an arithmetic number, because the mean of its divisors is an integer number (409343220).

Almost surely, 2^121649472000 is an apocalyptic number.

121649472000 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 121649472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261979660800).

121649472000 is an abundant number, since it is smaller than the sum of its proper divisors (402309849600).

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

121649472000 is an equidigital number, since it uses as much as digits as its factorization.

121649472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 121649472000 in words is "one hundred twenty-one billion, six hundred forty-nine million, four hundred seventy-two thousand".