142100412192 has 216 divisors, whose sum is σ = 439747265412. Its totient is φ = 43492147200.

The previous prime is 142100412173. The next prime is 142100412253. The reversal of 142100412192 is 291214001241.

It is a happy number.

142100412192 is a `hidden beast` number, since 142 + 100 + 412 + 1 + 9 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 120162062736 + 21938349456 = 346644^2 + 148116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3391692 + ... + 3433332.

Almost surely, 2^142100412192 is an apocalyptic number.

142100412192 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 142100412192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219873632706).

142100412192 is an abundant number, since it is smaller than the sum of its proper divisors (297646853220).

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

142100412192 is a wasteful number, since it uses less digits than its factorization.

142100412192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41732 (or 41704 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 142100412192 in words is "one hundred forty-two billion, one hundred million, four hundred twelve thousand, one hundred ninety-two".