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12401323242440 = 23511311297700993
BaseRepresentation
bin1011010001110110100001…
…1101110111001111001000
31121220112222112120011011112
42310131220131313033020
53111140402222224230
642213031135545452
72416652231206136
oct264355035671710
947815875504145
1012401323242440
113a5140a7398a0
12148356208b288
136bc594213102
1430c3277d2756
151678c0a9ad95
hexb47687773c8

12401323242440 has 128 divisors (see below), whose sum is σ = 31445805726720. Its totient is φ = 4360731033600.

The previous prime is 12401323242439. The next prime is 12401323242467. The reversal of 12401323242440 is 4424232310421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12401323242397 and 12401323242406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17340584 + ... + 18041576.

It is an arithmetic number, because the mean of its divisors is an integer number (245670357240).

Almost surely, 212401323242440 is an apocalyptic number.

12401323242440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12401323242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15722902863360).

12401323242440 is an abundant number, since it is smaller than the sum of its proper divisors (19044482484280).

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

12401323242440 is a wasteful number, since it uses less digits than its factorization.

12401323242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702343 (or 702339 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 12401323242440 its reverse (4424232310421), we get a palindrome (16825555552861).

The spelling of 12401323242440 in words is "twelve trillion, four hundred one billion, three hundred twenty-three million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1297 1364 1705 2594 2728 3410 5188 6485 6820 10376 12970 13640 14267 25940 28534 40207 51880 57068 71335 80414 114136 142670 160828 201035 285340 321656 402070 442277 570680 700993 804140 884554 1401986 1608280 1769108 2211385 2803972 3504965 3538216 4422770 5607944 7009930 7710923 8845540 14019860 15421846 17691080 21730783 28039720 30843692 38554615 43461566 61687384 77109230 86923132 108653915 154218460 173846264 217307830 239038613 308436920 434615660 478077226 869231320 909187921 956154452 1195193065 1818375842 1912308904 2390386130 3636751684 4545939605 4780772260 7273503368 9091879210 9561544520 10001067131 18183758420 20002134262 28184825551 36367516840 40004268524 50005335655 56369651102 80008537048 100010671310 112739302204 140924127755 200021342620 225478604408 281848255510 310033081061 400042685240 563696511020 620066162122 1127393022040 1240132324244 1550165405305 2480264648488 3100330810610 6200661621220 12401323242440