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12468210972 = 2237479309877
BaseRepresentation
bin10111001110010100…
…11100110100011100
31012011221010202001120
423213022130310130
5201013330222342
65421113010540
7620655021210
oct134712346434
935157122046
1012468210972
115318a86498
1224bb6b3a50
131239169539
14863c9a940
154ce909aec
hex2e729cd1c

12468210972 has 48 divisors (see below), whose sum is σ = 33318082560. Its totient is φ = 3554897472.

The previous prime is 12468210959. The next prime is 12468210977. The reversal of 12468210972 is 27901286421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12468210977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114703 + ... + 195174.

It is an arithmetic number, because the mean of its divisors is an integer number (694126720).

Almost surely, 212468210972 is an apocalyptic number.

12468210972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12468210972 is an abundant number, since it is smaller than the sum of its proper divisors (20849871588).

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

12468210972 is a wasteful number, since it uses less digits than its factorization.

12468210972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310370 (or 310368 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 12468210972 in words is "twelve billion, four hundred sixty-eight million, two hundred ten thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 479 958 1437 1916 2874 3353 5748 6706 10059 13412 20118 40236 309877 619754 929631 1239508 1859262 2169139 3718524 4338278 6507417 8676556 13014834 26029668 148431083 296862166 445293249 593724332 890586498 1039017581 1781172996 2078035162 3117052743 4156070324 6234105486 12468210972