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12401551104 = 283196191373
BaseRepresentation
bin10111000110011000…
…01010011100000000
31012000021201001220120
423203030022130000
5200344244113404
65410332140240
7616215305445
oct134314123400
935007631816
1012401551104
115294396998
1224a1307680
1312283ca127
148590a79cc
154c8b3d9d9
hex2e330a700

12401551104 has 144 divisors (see below), whose sum is σ = 34824854400. Its totient is φ = 3907104768.

The previous prime is 12401551103. The next prime is 12401551111. The reversal of 12401551104 is 40115510421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401551103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9031762 + ... + 9033134.

Almost surely, 212401551104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12401551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17412427200).

12401551104 is an abundant number, since it is smaller than the sum of its proper divisors (22423303296).

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

12401551104 is a wasteful number, since it uses less digits than its factorization.

12401551104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 12401551104 in words is "twelve billion, four hundred one million, five hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 619 768 912 1216 1238 1373 1824 1857 2432 2476 2746 3648 3714 4119 4864 4952 5492 7296 7428 8238 9904 10984 11761 14592 14856 16476 19808 21968 23522 26087 29712 32952 35283 39616 43936 47044 52174 59424 65904 70566 78261 79232 87872 94088 104348 118848 131808 141132 156522 158464 175744 188176 208696 237696 263616 282264 313044 351488 376352 417392 475392 527232 564528 626088 752704 834784 849887 1054464 1129056 1252176 1505408 1669568 1699774 2258112 2504352 2549661 3010816 3339136 3399548 4516224 5008704 5099322 6678272 6799096 9032448 10017408 10198644 13598192 16147853 20034816 20397288 27196384 32295706 40794576 48443559 54392768 64591412 81589152 96887118 108785536 129182824 163178304 193774236 217571072 258365648 326356608 387548472 516731296 652713216 775096944 1033462592 1550193888 2066925184 3100387776 4133850368 6200775552 12401551104