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1000012022112 = 25394111069917
BaseRepresentation
bin11101000110101010101…
…11001000000101100000
310112121012120001012201110
432203111113020011200
5112341011034201422
62043222120103320
7132151141636635
oct16432527100540
93477176035643
101000012022112
11356114797324
12141986004b40
13733ba91790c
1436587c9618c
151b02c83d60c
hexe8d55c8160

1000012022112 has 48 divisors (see below), whose sum is σ = 2627821414512. Its totient is φ = 332983073280.

The previous prime is 1000012022111. The next prime is 1000012022117. The reversal of 1000012022112 is 2112202100001.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000012022111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5444623 + ... + 5625294.

It is an arithmetic number, because the mean of its divisors is an integer number (54746279469).

Almost surely, 21000012022112 is an apocalyptic number.

1000012022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000012022112 is an abundant number, since it is smaller than the sum of its proper divisors (1627809392400).

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

1000012022112 is a wasteful number, since it uses less digits than its factorization.

1000012022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11070871 (or 11070863 counting only the distinct ones).

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

Adding to 1000012022112 its reverse (2112202100001), we get a palindrome (3112214122113).

The spelling of 1000012022112 in words is "one trillion, twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 941 1882 2823 3764 5646 7528 11292 15056 22584 30112 45168 90336 11069917 22139834 33209751 44279668 66419502 88559336 132839004 177118672 265678008 354237344 531356016 1062712032 10416791897 20833583794 31250375691 41667167588 62500751382 83334335176 125001502764 166668670352 250003005528 333337340704 500006011056 1000012022112