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12222222122112 = 273146743216901
BaseRepresentation
bin1011000111011011010100…
…1101010011110010000000
31121021102200200012120000120
42301312311031103302000
53100222102330401422
641554451125220240
72401012025620362
oct261666515236200
947242620176016
1012222222122112
113992462834282
1214548b9561680
136a8720892332
143037b7140d32
15162ddc24c45c
hexb1db5353c80

12222222122112 has 64 divisors (see below), whose sum is σ = 32465648429760. Its totient is φ = 4074027494400.

The previous prime is 12222222122107. The next prime is 12222222122183. The reversal of 12222222122112 is 21122122222221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56240862 + ... + 56457762.

It is an arithmetic number, because the mean of its divisors is an integer number (507275756715).

Almost surely, 212222222122112 is an apocalyptic number.

12222222122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12222222122112 is an abundant number, since it is smaller than the sum of its proper divisors (20243426307648).

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

12222222122112 is a wasteful number, since it uses less digits than its factorization.

12222222122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363661 (or 363649 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 12222222122112 its reverse (21122122222221), we get a palindrome (33344344344333).

The spelling of 12222222122112 in words is "twelve trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 146743 216901 293486 433802 440229 586972 650703 867604 880458 1173944 1301406 1735208 1760916 2347888 2602812 3470416 3521832 4695776 5205624 6940832 7043664 9391552 10411248 13881664 14087328 18783104 20822496 27763328 28174656 41644992 56349312 83289984 31828703443 63657406886 95486110329 127314813772 190972220658 254629627544 381944441316 509259255088 763888882632 1018518510176 1527777765264 2037037020352 3055555530528 4074074040704 6111111061056 12222222122112