10112212000 has 288 divisors, whose sum is σ = 28939725360. Its totient is φ = 3458048000.

The previous prime is 10112211973. The next prime is 10112212013. The reversal of 10112212000 is 21221101.

It can be written as a sum of positive squares in 8 ways, for example, as 3832600464 + 6279611536 = 61908^2 + 79244^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8227386 + ... + 8228614.

Almost surely, 2^10112212000 is an apocalyptic number.

10112212000 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 10112212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469862680).

10112212000 is an abundant number, since it is smaller than the sum of its proper divisors (18827513360).

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

10112212000 is a wasteful number, since it uses less digits than its factorization.

10112212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10112212000 its reverse (21221101), we get a palindrome (10133433101).

The spelling of 10112212000 in words is "ten billion, one hundred twelve million, two hundred twelve thousand".