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12220205112 = 2332973734691
BaseRepresentation
bin10110110000110000…
…11000100000111000
31011112122110201222100
423120120120200320
5200011333030422
65340333223400
7611554013103
oct133030304070
934478421870
1012220205112
115200a94a75
122450631b60
1311c99746cb
1483cd7d73a
154b7c6b7ac
hex2d8618838

12220205112 has 96 divisors (see below), whose sum is σ = 33534380880. Its totient is φ = 4019742720.

The previous prime is 12220205099. The next prime is 12220205113. The reversal of 12220205112 is 21150202221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220205113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2602687 + ... + 2607377.

Almost surely, 212220205112 is an apocalyptic number.

12220205112 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 12220205112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16767190440).

12220205112 is an abundant number, since it is smaller than the sum of its proper divisors (21314175768).

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

12220205112 is a wasteful number, since it uses less digits than its factorization.

12220205112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12220205112 its reverse (21150202221), we get a palindrome (33370407333).

The spelling of 12220205112 in words is "twelve billion, two hundred twenty million, two hundred five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 373 388 582 746 776 873 1119 1164 1492 1746 2238 2328 2984 3357 3492 4476 4691 6714 6984 8952 9382 13428 14073 18764 26856 28146 36181 37528 42219 56292 72362 84438 108543 112584 144724 168876 217086 289448 325629 337752 434172 455027 651258 868344 910054 1302516 1365081 1749743 1820108 2605032 2730162 3499486 3640216 4095243 5249229 5460324 6998972 8190486 10498458 10920648 13997944 15747687 16380972 20996916 31495374 32761944 41993832 62990748 125981496 169725071 339450142 509175213 678900284 1018350426 1357800568 1527525639 2036700852 3055051278 4073401704 6110102556 12220205112