10142400622212 has 36 divisors (see below), whose sum is σ = 26263045517436. Its totient is φ = 3298341665280.

The previous prime is 10142400622187. The next prime is 10142400622213. The reversal of 10142400622212 is 21222600424101.

It is a happy number.

10142400622212 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 24 + 0 + 0 + 622 + 2 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2067573664836 + 8074826957376 = 1437906^2 + 2841624^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (10142400622213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3435771093 + ... + 3435774044.

It is an arithmetic number, because the mean of its divisors is an integer number (729529042151).

Almost surely, 2^{10142400622212} is an apocalyptic number.

10142400622212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10142400622212 is an abundant number, since it is smaller than the sum of its proper divisors (16120644895224).

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

10142400622212 is a wasteful number, since it uses less digits than its factorization.

10142400622212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871545188 (or 6871545183 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 10142400622212 in words is "ten trillion, one hundred forty-two billion, four hundred million, six hundred twenty-two thousand, two hundred twelve".