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12122112112120 = 2351797183779747
BaseRepresentation
bin1011000001100110011000…
…1011111011010111111000
31120220212021211120010102201
42300121212023323113320
53042102041200041440
641440453232235544
72360536144566133
oct260314613732770
946825254503381
1012122112112120
113953a602a002a
12143941a99bbb4
1369c158345b2a
142dc9db64521a
151604cd53219a
hexb06662fb5f8

12122112112120 has 64 divisors (see below), whose sum is σ = 29176872792480. Its totient is φ = 4516571037696.

The previous prime is 12122112112079. The next prime is 12122112112163. The reversal of 12122112112120 is 2121121122121.

It is a happy number.

It is a congruent number.

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, 91823914 + ... + 91955833.

Almost surely, 212122112112120 is an apocalyptic number.

12122112112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122112112120 is an abundant number, since it is smaller than the sum of its proper divisors (17054760680360).

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

12122112112120 is a wasteful number, since it uses less digits than its factorization.

12122112112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183779872 (or 183779868 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12122112112120 its reverse (2121121122121), we get a palindrome (14243233234241).

It can be divided in two parts, 1212211 and 2112120, that added together give a triangular number (3324331 = T2578).

The spelling of 12122112112120 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 97 136 170 194 340 388 485 680 776 970 1649 1940 3298 3880 6596 8245 13192 16490 32980 65960 183779747 367559494 735118988 918898735 1470237976 1837797470 3124255699 3675594940 6248511398 7351189880 12497022796 15621278495 17826635459 24994045592 31242556990 35653270918 62485113980 71306541836 89133177295 124970227960 142613083672 178266354590 303052802803 356532709180 606105605606 713065418360 1212211211212 1515264014015 2424422422424 3030528028030 6061056056060 12122112112120