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12222031120 = 2451341286633
BaseRepresentation
bin10110110000111110…
…10110010100010000
31011112202220111210021
423120133112110100
5200012314443440
65340440313224
7611605356535
oct133037262420
934482814707
1012222031120
115202021972
122451172814
1311ca1638a0
1483d2d6d8c
154b7ecc84a
hex2d87d6510

12222031120 has 80 divisors (see below), whose sum is σ = 31348587312. Its totient is φ = 4402667520.

The previous prime is 12222031117. The next prime is 12222031183. The reversal of 12222031120 is 2113022221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2632921344 + 9589109776 = 51312^2 + 97924^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12222031094 and 12222031103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100677 + ... + 185956.

Almost surely, 212222031120 is an apocalyptic number.

12222031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222031120 is an abundant number, since it is smaller than the sum of its proper divisors (19126556192).

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

12222031120 is a wasteful number, since it uses less digits than its factorization.

12222031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286700 (or 286694 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12222031120 its reverse (2113022221), we get a palindrome (14335053341).

The spelling of 12222031120 in words is "twelve billion, two hundred twenty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1066 1640 2132 2665 3280 4264 5330 8528 10660 21320 42640 286633 573266 1146532 1433165 2293064 2866330 3726229 4586128 5732660 7452458 11465320 11751953 14904916 18631145 22930640 23503906 29809832 37262290 47007812 58759765 59619664 74524580 94015624 117519530 149049160 152775389 188031248 235039060 298098320 305550778 470078120 611101556 763876945 940156240 1222203112 1527753890 2444406224 3055507780 6111015560 12222031120