121462848000 has 640 divisors, whose sum is σ = 483309066240. Its totient is φ = 29893017600.

The previous prime is 121462847983. The next prime is 121462848011. The reversal of 121462848000 is 848264121.

121462848000 is a `hidden beast` number, since 1 + 21 + 4 + 628 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×121462848000² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 22461297 + ... + 22466703.

It is an arithmetic number, because the mean of its divisors is an integer number (755170416).

Almost surely, 2^121462848000 is an apocalyptic number.

121462848000 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 121462848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241654533120).

121462848000 is an abundant number, since it is smaller than the sum of its proper divisors (361846218240).

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

121462848000 is an equidigital number, since it uses as much as digits as its factorization.

121462848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 121462848000 in words is "one hundred twenty-one billion, four hundred sixty-two million, eight hundred forty-eight thousand".