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1122100222122 = 234111347746723
BaseRepresentation
bin10000010101000010011…
…000101001100010101010
310222021100002112101010000
4100111002120221202222
5121341030124101442
62215252530003430
7144032455342005
oct20250230514252
93867302471100
101122100222122
113a297535aa80
12161579116576
1381a7661ab99
143c44a69653c
151e2c5cc9d4c
hex105426298aa

1122100222122 has 80 divisors (see below), whose sum is σ = 2743173889632. Its totient is φ = 339997862880.

The previous prime is 1122100222097. The next prime is 1122100222127. The reversal of 1122100222122 is 2212220012211.

It is a happy number.

1122100222122 is a `hidden beast` number, since 112 + 210 + 0 + 222 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1122100222095 and 1122100222104.

It is not an unprimeable number, because it can be changed into a prime (1122100222127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23992653 + ... + 24039375.

Almost surely, 21122100222122 is an apocalyptic number.

1122100222122 is an abundant number, since it is smaller than the sum of its proper divisors (1621073667510).

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

1122100222122 is a wasteful number, since it uses less digits than its factorization.

1122100222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60225 (or 60216 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1122100222122 its reverse (2212220012211), we get a palindrome (3334320234333).

The spelling of 1122100222122 in words is "one trillion, one hundred twenty-two billion, one hundred million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 13477 26954 40431 46723 80862 93446 121293 140169 148247 242586 280338 296494 363879 420507 444741 513953 727758 841014 889482 1027906 1091637 1261521 1334223 1541859 2183274 2523042 2668446 3083718 3784563 4002669 4625577 7569126 8005338 9251154 12008007 13876731 24016014 27753462 41630193 83260386 629685871 1259371742 1889057613 3778115226 5667172839 6926544581 11334345678 13853089162 17001518517 20779633743 34003037034 41559267486 51004555551 62338901229 102009111102 124677802458 187016703687 374033407374 561050111061 1122100222122