121874896512 has 384 divisors, whose sum is σ = 381124060800. Its totient is φ = 38811446784.

The previous prime is 121874896439. The next prime is 121874896519. The reversal of 121874896512 is 215698478121.

121874896512 is a `hidden beast` number, since 1 + 2 + 1 + 87 + 48 + 9 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×121874896512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (121874896519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148085733 + ... + 148086555.

It is an arithmetic number, because the mean of its divisors is an integer number (992510575).

Almost surely, 2^121874896512 is an apocalyptic number.

121874896512 is a gapful number since it is divisible by the number (12) 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 121874896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190562030400).

121874896512 is an abundant number, since it is smaller than the sum of its proper divisors (259249164288).

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

121874896512 is an frugal number, since it uses more digits than its factorization.

121874896512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 851 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 121874896512 in words is "one hundred twenty-one billion, eight hundred seventy-four million, eight hundred ninety-six thousand, five hundred twelve".