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1100211222012 = 223766733196271
BaseRepresentation
bin10000000000101001101…
…100101111010111111100
310220011211121111221212020
4100000221230233113330
5121011213033101022
62201232520440140
7142326155041110
oct20005154572774
93804747457766
101100211222012
11394662609241
1215928a619050
137c998791406
143b37156b740
151d9442c535c
hex10029b2f5fc

1100211222012 has 48 divisors (see below), whose sum is σ = 2933955505152. Its totient is φ = 314339751360.

The previous prime is 1100211222007. The next prime is 1100211222013. The reversal of 1100211222012 is 2102221120011.

It is a super-2 number, since 2×11002112220122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100211221982 and 1100211222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100211222013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5507437 + ... + 5703707.

It is an arithmetic number, because the mean of its divisors is an integer number (61124073024).

Almost surely, 21100211222012 is an apocalyptic number.

1100211222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100211222012 is an abundant number, since it is smaller than the sum of its proper divisors (1833744283140).

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

1100211222012 is a wasteful number, since it uses less digits than its factorization.

1100211222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263018 (or 263016 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1100211222012 its reverse (2102221120011), we get a palindrome (3202432342023).

The spelling of 1100211222012 in words is "one trillion, one hundred billion, two hundred eleven million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 66733 133466 196271 200199 266932 392542 400398 467131 588813 785084 800796 934262 1177626 1373897 1401393 1868524 2355252 2747794 2802786 4121691 5495588 5605572 8243382 16486764 13097752643 26195505286 39293257929 52391010572 78586515858 91684268501 157173031716 183368537002 275052805503 366737074004 550105611006 1100211222012