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2122244422212 = 2231014096416679
BaseRepresentation
bin11110111000011111100…
…111111111101001000100
321111212212212021220221010
4132320133213333221010
5234232324033002322
64302540131122220
7306220123643325
oct36703747775104
97455785256833
102122244422212
117490477165a2
122a337b443370
13125185734705
1474a07d1844c
153a31002720c
hex1ee1f9ffa44

2122244422212 has 96 divisors (see below), whose sum is σ = 5021732217600. Its totient is φ = 697503744000.

The previous prime is 2122244422183. The next prime is 2122244422219.

It is a happy number.

2122244422212 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2122244422212.

It is not an unprimeable number, because it can be changed into a prime (2122244422219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317745489 + ... + 317752167.

It is an arithmetic number, because the mean of its divisors is an integer number (52309710600).

Almost surely, 22122244422212 is an apocalyptic number.

It is an amenable number.

2122244422212 is an abundant number, since it is smaller than the sum of its proper divisors (2899487795388).

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

2122244422212 is a wasteful number, since it uses less digits than its factorization.

2122244422212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7837 (or 7835 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The spelling of 2122244422212 in words is "two trillion, one hundred twenty-two billion, two hundred forty-four million, four hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 101 202 303 404 409 606 641 818 1212 1227 1282 1636 1923 2454 2564 3846 4908 6679 7692 13358 20037 26716 40074 41309 64741 80148 82618 123927 129482 165236 194223 247854 258964 262169 388446 495708 524338 674579 776892 786507 1048676 1349158 1573014 2023737 2698316 2731711 3146028 4047474 4281239 5463422 8094948 8195133 8562478 10926844 12843717 16390266 17124956 25687434 26479069 32780532 51374868 52958138 79437207 105916276 158874414 275902811 317748828 432405139 551805622 827708433 864810278 1103611244 1297215417 1655416866 1729620556 1751026751 2594430834 3310833732 3502053502 5188861668 5253080253 7004107004 10506160506 21012321012 176853701851 353707403702 530561105553 707414807404 1061122211106 2122244422212