10012122001200 has 120 divisors (see below), whose sum is σ = 34987815475776. Its totient is φ = 2427181088000.

The previous prime is 10012122001183. The next prime is 10012122001201. The reversal of 10012122001200 is 210022121001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10012122001201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379233846 + ... + 379260245.

Almost surely, 2^{10012122001200} is an apocalyptic number.

10012122001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012122001200 is an abundant number, since it is smaller than the sum of its proper divisors (24975693474576).

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

10012122001200 is a wasteful number, since it uses less digits than its factorization.

10012122001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758494123 (or 758494112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012122001200 its reverse (210022121001), we get a palindrome (10222144122201).

The spelling of 10012122001200 in words is "ten trillion, twelve billion, one hundred twenty-two million, one thousand, two hundred".