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12480262272 = 2735401243
BaseRepresentation
bin10111001111110000…
…11011000010000000
31012012202211000100000
423213320123002000
5201024421343042
65422223200000
7621162323202
oct134770330200
935182730300
1012480262272
115324867845
122503746000
13123b7c899a
14865716772
154d09da74c
hex2e7e1b080

12480262272 has 96 divisors (see below), whose sum is σ = 37243468080. Its totient is φ = 4160077056.

The previous prime is 12480262261. The next prime is 12480262273. The reversal of 12480262272 is 27226208421.

12480262272 is a `hidden beast` number, since 1 + 24 + 8 + 0 + 2 + 622 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12480262273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169518 + ... + 231725.

Almost surely, 212480262272 is an apocalyptic number.

12480262272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12480262272 is an abundant number, since it is smaller than the sum of its proper divisors (24763205808).

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

12480262272 is an frugal number, since it uses more digits than its factorization.

12480262272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401272 (or 401248 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12480262272 in words is "twelve billion, four hundred eighty million, two hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 401243 802486 1203729 1604972 2407458 3209944 3611187 4814916 6419888 7222374 9629832 10833561 12839776 14444748 19259664 21667122 25679552 28889496 32500683 38519328 43334244 51359104 57778992 65001366 77038656 86668488 97502049 115557984 130002732 154077312 173336976 195004098 231115968 260005464 346673952 390008196 462231936 520010928 693347904 780016392 1040021856 1386695808 1560032784 2080043712 3120065568 4160087424 6240131136 12480262272