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12220101211230 = 23251148725346071
BaseRepresentation
bin1011000111010011011011…
…0010101011010001011110
31121021020012212100010020200
42301310312302223101132
53100203231402224410
641553500442524330
72400605333311623
oct261646662532136
947236185303220
1012220101211230
113991574613570
1214544072066a6
136a8473362593
143036555b034a
15162d15e543c0
hexb1d36cab45e

12220101211230 has 96 divisors (see below), whose sum is σ = 34731823845888. Its totient is φ = 2956365604800.

The previous prime is 12220101211211. The next prime is 12220101211231. The reversal of 12220101211230 is 3211210102221.

12220101211230 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 0 + 1 + 211 + 230 = 666.

It is a super-2 number, since 2×122201012112302 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220101211231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12190906 + ... + 13155165.

It is an arithmetic number, because the mean of its divisors is an integer number (361789831728).

Almost surely, 212220101211230 is an apocalyptic number.

12220101211230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12220101211230 is an abundant number, since it is smaller than the sum of its proper divisors (22511722634658).

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

12220101211230 is a wasteful number, since it uses less digits than its factorization.

12220101211230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25346582 (or 25346579 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12220101211230 its reverse (3211210102221), we get a palindrome (15431311313451).

The spelling of 12220101211230 in words is "twelve trillion, two hundred twenty billion, one hundred one million, two hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 487 495 974 990 1461 2435 2922 4383 4870 5357 7305 8766 10714 14610 16071 21915 26785 32142 43830 48213 53570 80355 96426 160710 241065 482130 25346071 50692142 76038213 126730355 152076426 228114639 253460710 278806781 380191065 456229278 557613562 760382130 836420343 1140573195 1394033905 1672840686 2281146390 2509261029 2788067810 4182101715 5018522058 8364203430 12343536577 12546305145 24687073154 25092610290 37030609731 61717682885 74061219462 111091829193 123435365770 135778902347 185153048655 222183658386 271557804694 370306097310 407336707041 555459145965 678894511735 814673414082 1110918291930 1222010121123 1357789023470 2036683535205 2444020242246 4073367070410 6110050605615 12220101211230