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12421887456 = 2531137317923
BaseRepresentation
bin10111001000110011…
…01111010111100000
31012001200222021010210
423210121233113200
5200420000344311
65412340054120
7616553205216
oct134431572740
935050867123
1012421887456
1152a49169a0
1224a8094340
13122c69a684
1485ba7ccb6
154ca8093a6
hex2e466f5e0

12421887456 has 96 divisors (see below), whose sum is σ = 36533282688. Its totient is φ = 3662461440.

The previous prime is 12421887427. The next prime is 12421887503. The reversal of 12421887456 is 65478812421.

It is a happy number.

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 (48).

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, 119890 + ... + 198033.

It is an arithmetic number, because the mean of its divisors is an integer number (380555028).

Almost surely, 212421887456 is an apocalyptic number.

12421887456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12421887456 is an abundant number, since it is smaller than the sum of its proper divisors (24111395232).

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

12421887456 is a wasteful number, since it uses less digits than its factorization.

12421887456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317984 (or 317976 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The spelling of 12421887456 in words is "twelve billion, four hundred twenty-one million, eight hundred eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 19536 39072 317923 635846 953769 1271692 1907538 2543384 3497153 3815076 5086768 6994306 7630152 10173536 10491459 11763151 13988612 15260304 20982918 23526302 27977224 30520608 35289453 41965836 47052604 55954448 70578906 83931672 94105208 111908896 129394661 141157812 167863344 188210416 258789322 282315624 335726688 376420832 388183983 517578644 564631248 776367966 1035157288 1129262496 1552735932 2070314576 3105471864 4140629152 6210943728 12421887456