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12271745112 = 2331165970537
BaseRepresentation
bin10110110110111001…
…11111100001011000
31011200020110020120020
423123130333201120
5200113031320422
65345414030440
7613051053354
oct133334774130
934606406506
1012271745112
115228097810
122465948420
13120754ba53
14845b58464
154bc54c95c
hex2db73f858

12271745112 has 64 divisors (see below), whose sum is σ = 33519657600. Its totient is φ = 3713015040.

The previous prime is 12271745107. The next prime is 12271745147. The reversal of 12271745112 is 21154717221.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 138708 + ... + 209244.

It is an arithmetic number, because the mean of its divisors is an integer number (523744650).

Almost surely, 212271745112 is an apocalyptic number.

12271745112 is a gapful number since it is divisible by the number (12) 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 12271745112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16759828800).

12271745112 is an abundant number, since it is smaller than the sum of its proper divisors (21247912488).

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

12271745112 is a wasteful number, since it uses less digits than its factorization.

12271745112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71216 (or 71212 counting only the distinct ones).

The product of its digits is 7840, while the sum is 33.

The spelling of 12271745112 in words is "twelve billion, two hundred seventy-one million, seven hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 659 1318 1977 2636 3954 5272 7249 7908 14498 15816 21747 28996 43494 57992 70537 86988 141074 173976 211611 282148 423222 564296 775907 846444 1551814 1692888 2327721 3103628 4655442 6207256 9310884 18621768 46483883 92967766 139451649 185935532 278903298 371871064 511322713 557806596 1022645426 1115613192 1533968139 2045290852 3067936278 4090581704 6135872556 12271745112