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212112002222000 = 2453109111972001
BaseRepresentation
bin110000001110101000101100…
…100010111000011110110000
31000211000201011010122112222022
4300032220230202320132300
5210300220340032101000
62031042524131531012
762451405102445436
oct6016505442703660
91024021133575868
10212112002222000
1161649216562291
121b958888459a68
1391480cac201ba
143a543c069cd56
15197c7bec58585
hexc0ea2c8b87b0

212112002222000 has 80 divisors (see below), whose sum is σ = 512892049635264. Its totient is φ = 84843936000000.

The previous prime is 212112002221993. The next prime is 212112002222009. The reversal of 212112002222000 is 222200211212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 212112002222000.

It is not an unprimeable number, because it can be changed into a prime (212112002222009) 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, 217736000 + ... + 218708000.

Almost surely, 2212112002222000 is an apocalyptic number.

212112002222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112002222000 is an abundant number, since it is smaller than the sum of its proper divisors (300780047413264).

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

212112002222000 is a wasteful number, since it uses less digits than its factorization.

212112002222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081135 (or 1081119 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212112002222000 its reverse (222200211212), we get a palindrome (212334202433212).

The spelling of 212112002222000 in words is "two hundred twelve trillion, one hundred twelve billion, two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 109111 218222 436444 545555 872888 972001 1091110 1745776 1944002 2182220 2727775 3888004 4364440 4860005 5455550 7776008 8728880 9720010 10911100 13638875 15552016 19440020 21822200 24300025 27277750 38880040 43644400 48600050 54555500 77760080 97200100 109111000 121500125 194400200 218222000 243000250 388800400 486000500 972001000 1944002000 106056001111 212112002222 424224004444 530280005555 848448008888 1060560011110 1696896017776 2121120022220 2651400027775 4242240044440 5302800055550 8484480088880 10605600111100 13257000138875 21211200222200 26514000277750 42422400444400 53028000555500 106056001111000 212112002222000