10001200312032 has 192 divisors, whose sum is σ = 27359832064320. Its totient is φ = 3196149497856.

The previous prime is 10001200312031. The next prime is 10001200312049. The reversal of 10001200312032 is 23021300210001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001200312031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78837198 + ... + 78963954.

It is an arithmetic number, because the mean of its divisors is an integer number (142499125335).

Almost surely, 2^{10001200312032} is an apocalyptic number.

10001200312032 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 10001200312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679916032160).

10001200312032 is an abundant number, since it is smaller than the sum of its proper divisors (17358631752288).

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

10001200312032 is a wasteful number, since it uses less digits than its factorization.

10001200312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127133 (or 127125 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10001200312032 its reverse (23021300210001), we get a palindrome (33022500522033).

The spelling of 10001200312032 in words is "ten trillion, one billion, two hundred million, three hundred twelve thousand, thirty-two".