121928484816 has 120 divisors (see below), whose sum is σ = 356415972640. Its totient is φ = 40350254976.

The previous prime is 121928484793. The next prime is 121928484827. The reversal of 121928484816 is 618484829121.

121928484816 is a `hidden beast` number, since 121 + 9 + 28 + 484 + 8 + 16 = 666.

It is a super-3 number, since 3×121928484816³ (a number of 34 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427626 + ... + 653238.

Almost surely, 2^121928484816 is an apocalyptic number.

121928484816 is a gapful number since it is divisible by the number (16) 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 121928484816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178207986320).

121928484816 is an abundant number, since it is smaller than the sum of its proper divisors (234487487824).

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

121928484816 is a wasteful number, since it uses less digits than its factorization.

121928484816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225775 (or 225757 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 121928484816 in words is "one hundred twenty-one billion, nine hundred twenty-eight million, four hundred eighty-four thousand, eight hundred sixteen".