12072632083200 has 1296 divisors, whose sum is σ = 49236360025440. Its totient is φ = 2891149148160.

The previous prime is 12072632083177. The next prime is 12072632083201. The reversal of 12072632083200 is 238023627021.

12072632083200 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 2 + 6 + 320 + 8 + 320 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12072632083201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1080512814 + ... + 1080523986.

Almost surely, 2^{12072632083200} is an apocalyptic number.

12072632083200 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 12072632083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24618180012720).

12072632083200 is an abundant number, since it is smaller than the sum of its proper divisors (37163727942240).

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

12072632083200 is a wasteful number, since it uses less digits than its factorization.

12072632083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11271 (or 11233 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12072632083200 in words is "twelve trillion, seventy-two billion, six hundred thirty-two million, eighty-three thousand, two hundred".