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12334123462140 = 22325679110090253
BaseRepresentation
bin1011001101111100001100…
…0011000010110111111100
31121200010112021022121120200
42303133003003002313330
53104040241101242030
642122115035243500
72412053035411254
oct263370303026774
947603467277520
1012334123462140
113a25966165287
121472528ba9590
136b6144c719bc
14308d90a5a964
15165c8b219d60
hexb37c30c2dfc

12334123462140 has 72 divisors (see below), whose sum is σ = 37419020821728. Its totient is φ = 3288614931840.

The previous prime is 12334123462127. The next prime is 12334123462153. The reversal of 12334123462140 is 4126432143321.

12334123462140 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 4 + 1 + 23 + 4 + 621 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12334123462127) and next prime (12334123462153).

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

It is a junction number, because it is equal to n+sod(n) for n = 12334123462095 and 12334123462104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3822747 + ... + 6267506.

It is an arithmetic number, because the mean of its divisors is an integer number (519708622524).

Almost surely, 212334123462140 is an apocalyptic number.

12334123462140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12334123462140 is an abundant number, since it is smaller than the sum of its proper divisors (25084897359588).

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

12334123462140 is a wasteful number, since it uses less digits than its factorization.

12334123462140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10097059 (or 10097054 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 12334123462140 in words is "twelve trillion, three hundred thirty-four billion, one hundred twenty-three million, four hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6791 13582 20373 27164 33955 40746 61119 67910 81492 101865 122238 135820 203730 244476 305595 407460 611190 1222380 10090253 20180506 30270759 40361012 50451265 60541518 90812277 100902530 121083036 151353795 181624554 201805060 302707590 363249108 454061385 605415180 908122770 1816245540 68522908123 137045816246 205568724369 274091632492 342614540615 411137448738 616706173107 685229081230 822274897476 1027843621845 1233412346214 1370458162460 2055687243690 2466824692428 3083530865535 4111374487380 6167061731070 12334123462140