121271468328 has 384 divisors, whose sum is σ = 376261200000. Its totient is φ = 36061267968.

The previous prime is 121271468317. The next prime is 121271468341. The reversal of 121271468328 is 823864172121.

121271468328 is a `hidden beast` number, since 1 + 212 + 71 + 46 + 8 + 328 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289430503 + ... + 289430921.

It is an arithmetic number, because the mean of its divisors is an integer number (979846875).

Almost surely, 2^121271468328 is an apocalyptic number.

121271468328 is a gapful number since it is divisible by the number (18) 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 121271468328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188130600000).

121271468328 is an abundant number, since it is smaller than the sum of its proper divisors (254989731672).

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

121271468328 is a wasteful number, since it uses less digits than its factorization.

121271468328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 613 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 121271468328 in words is "one hundred twenty-one billion, two hundred seventy-one million, four hundred sixty-eight thousand, three hundred twenty-eight".