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12421616023260 = 223253710118466411
BaseRepresentation
bin1011010011000010001000…
…0000101011011011011100
31121222111100210000020012100
42310300202000223123130
53112003432200221020
642230224524405100
72421301140044343
oct264604200533334
947874323006170
1012421616023260
113a59a83461434
1214874860a6790
136c147945b922
1430d2d092cb5a
151681ac39ba90
hexb4c2202b6dc

12421616023260 has 144 divisors (see below), whose sum is σ = 39080393849952. Its totient is φ = 3190995648000.

The previous prime is 12421616023253. The next prime is 12421616023301. The reversal of 12421616023260 is 6232061612421.

12421616023260 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 1 + 616 + 0 + 2 + 32 + 6 + 0 = 666.

It is a super-2 number, since 2×124216160232602 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8560546 + ... + 9905865.

It is an arithmetic number, because the mean of its divisors is an integer number (271391623958).

Almost surely, 212421616023260 is an apocalyptic number.

12421616023260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12421616023260 is an abundant number, since it is smaller than the sum of its proper divisors (26658777826692).

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

12421616023260 is a wasteful number, since it uses less digits than its factorization.

12421616023260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18466564 (or 18466559 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 12421616023260 its reverse (6232061612421), we get a palindrome (18653677635681).

The spelling of 12421616023260 in words is "twelve trillion, four hundred twenty-one billion, six hundred sixteen million, twenty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 101 111 148 180 185 202 222 303 333 370 404 444 505 555 606 666 740 909 1010 1110 1212 1332 1515 1665 1818 2020 2220 3030 3330 3636 3737 4545 6060 6660 7474 9090 11211 14948 18180 18685 22422 33633 37370 44844 56055 67266 74740 112110 134532 168165 224220 336330 672660 18466411 36932822 55399233 73865644 92332055 110798466 166197699 184664110 221596932 276996165 332395398 369328220 553992330 664790796 683257207 830988495 1107984660 1366514414 1661976990 1865107511 2049771621 2733028828 3323953980 3416286035 3730215022 4099543242 5595322533 6149314863 6832572070 7460430044 8199086484 9325537555 10248858105 11190645066 12298629726 13665144140 16785967599 18651075110 20497716210 22381290132 24597259452 27976612665 30746574315 33571935198 37302150220 40995432420 55953225330 61493148630 67143870396 69008977907 83929837995 111906450660 122986297260 138017955814 167859675990 207026933721 276035911628 335719351980 345044889535 414053867442 621080801163 690089779070 828107734884 1035134668605 1242161602326 1380179558140 2070269337210 2484323204652 3105404005815 4140538674420 6210808011630 12421616023260