12082963200 has 648 divisors, whose sum is σ = 50159956224. Its totient is φ = 2507366400.

The previous prime is 12082963183. The next prime is 12082963219. The reversal of 12082963200 is 236928021.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16262029 + ... + 16262771.

Almost surely, 2^12082963200 is an apocalyptic number.

12082963200 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 12082963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25079978112).

12082963200 is an abundant number, since it is smaller than the sum of its proper divisors (38076993024).

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

12082963200 is a wasteful number, since it uses less digits than its factorization.

12082963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 12082963200 in words is "twelve billion, eighty-two million, nine hundred sixty-three thousand, two hundred".