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12253612332 = 223134710311621
BaseRepresentation
bin10110110100101111…
…10100100100101100
31011121222100000001210
423122113310210230
5200043411043312
65343525234420
7612440662203
oct133227644454
934558300053
1012253612332
115218932345
12245b862a10
1312038704b0
1484359823a
154bab69e3c
hex2da5f492c

12253612332 has 96 divisors (see below), whose sum is σ = 31496177664. Its totient is φ = 3684268800.

The previous prime is 12253612309. The next prime is 12253612333. The reversal of 12253612332 is 23321635221.

It is a self number, because there is not a number n which added to its sum of digits gives 12253612332.

It is not an unprimeable number, because it can be changed into a prime (12253612333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7558482 + ... + 7560102.

It is an arithmetic number, because the mean of its divisors is an integer number (328085184).

Almost surely, 212253612332 is an apocalyptic number.

12253612332 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 12253612332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748088832).

12253612332 is an abundant number, since it is smaller than the sum of its proper divisors (19242565332).

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

12253612332 is a wasteful number, since it uses less digits than its factorization.

12253612332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2717 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The spelling of 12253612332 in words is "twelve billion, two hundred fifty-three million, six hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1031 1222 1621 1833 2062 2444 3093 3242 3666 4124 4863 6186 6484 7332 9726 12372 13403 19452 21073 26806 40209 42146 48457 53612 63219 76187 80418 84292 96914 126438 145371 152374 160836 193828 228561 252876 290742 304748 457122 581484 629941 914244 990431 1259882 1671251 1889823 1980862 2519764 2971293 3342502 3779646 3961724 5013753 5942586 6685004 7559292 10027506 11885172 20055012 21726263 43452526 65178789 78548797 86905052 130357578 157097594 235646391 260715156 314195188 471292782 942585564 1021134361 2042268722 3063403083 4084537444 6126806166 12253612332