12020617728 has 400 divisors, whose sum is σ = 41923816704. Its totient is φ = 3357573120.

The previous prime is 12020617633. The next prime is 12020617747. The reversal of 12020617728 is 82771602021.

12020617728 is a `hidden beast` number, since 12 + 0 + 2 + 0 + 617 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12020617692 and 12020617701.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13643848 + ... + 13644728.

Almost surely, 2^12020617728 is an apocalyptic number.

12020617728 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 12020617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20961908352).

12020617728 is an abundant number, since it is smaller than the sum of its proper divisors (29903198976).

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

12020617728 is an frugal number, since it uses more digits than its factorization.

12020617728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 12020617728 in words is "twelve billion, twenty million, six hundred seventeen thousand, seven hundred twenty-eight".