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1221220102232 = 2313232941429389
BaseRepresentation
bin10001110001010110011…
…000111111000001011000
311022202011221001222211202
4101301112120333001120
5130002024321232412
62333004253013332
7154141654411214
oct21612630770130
94282157058752
101221220102232
11430a09a01a69
12178820184248
138b2119a4910
1443170893944
1521b77b133c2
hex11c5663f058

1221220102232 has 128 divisors (see below), whose sum is σ = 2726798256000. Its totient is φ = 507845775360.

The previous prime is 1221220102231. The next prime is 1221220102247. The reversal of 1221220102232 is 2322010221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221220102231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2629394 + ... + 3058782.

It is an arithmetic number, because the mean of its divisors is an integer number (21303111375).

Almost surely, 21221220102232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221220102232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363399128000).

1221220102232 is an abundant number, since it is smaller than the sum of its proper divisors (1505578153768).

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

1221220102232 is a wasteful number, since it uses less digits than its factorization.

1221220102232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429501 (or 429497 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1221220102232 its reverse (2322010221221), we get a palindrome (3543230323453).

The spelling of 1221220102232 in words is "one trillion, two hundred twenty-one billion, two hundred twenty million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 29 41 46 52 58 82 92 104 116 164 184 232 299 328 377 533 598 667 754 943 1066 1189 1196 1334 1508 1886 2132 2378 2392 2668 3016 3772 4264 4756 5336 7544 8671 9512 12259 15457 17342 24518 27347 30914 34684 49036 54694 61828 69368 98072 109388 123656 218776 355511 429389 711022 858778 1422044 1717556 2844088 3435112 5582057 9875947 11164114 12452281 17604949 19751894 22328228 24904562 35209898 39503788 44656456 49809124 70419796 79007576 99618248 128387311 140839592 161879653 228864337 256774622 286402463 323759306 404913827 457728674 510543521 513549244 572804926 647518612 809827654 915457348 1021087042 1027098488 1145609852 1295037224 1619655308 1830914696 2042174084 2291219704 3239310616 3723232019 4084348168 5263879751 6637065773 7446464038 10527759502 11742500983 13274131546 14892928076 21055519004 23485001966 26548263092 29785856152 42111038008 46970003932 53096526184 93940007864 152652512779 305305025558 610610051116 1221220102232