990101344512 has 432 divisors, whose sum is σ = 3234802677120. Its totient is φ = 267525586944.

The previous prime is 990101344493. The next prime is 990101344523. The reversal of 990101344512 is 215443101099.

It is a super-2 number, since 2×990101344512² (a number of 25 digits) contains 22 as substring.

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, 77026278 + ... + 77039130.

It is an arithmetic number, because the mean of its divisors is an integer number (7487969160).

Almost surely, 2^990101344512 is an apocalyptic number.

990101344512 is a gapful number since it is divisible by the number (92) 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 990101344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617401338560).

990101344512 is an abundant number, since it is smaller than the sum of its proper divisors (2244701332608).

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

990101344512 is a wasteful number, since it uses less digits than its factorization.

990101344512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12998 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 990101344512 in words is "nine hundred ninety billion, one hundred one million, three hundred forty-four thousand, five hundred twelve".