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123312112 = 24711101991
BaseRepresentation
bin1110101100110…
…01011111110000
322121000220102021
413112121133300
5223031441422
620123001224
73025064350
oct726313760
9277026367
10123312112
1163674240
1235369214
131c716661
141253cb60
15ac5bdc7
hex75997f0

123312112 has 80 divisors (see below), whose sum is σ = 301123584. Its totient is φ = 47520000.

The previous prime is 123312107. The next prime is 123312113. The reversal of 123312112 is 211213321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123312113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123937 + ... + 124927.

Almost surely, 2123312112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150561792).

123312112 is an abundant number, since it is smaller than the sum of its proper divisors (177811472).

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

123312112 is a wasteful number, since it uses less digits than its factorization.

123312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 123312112 is about 11104.5986870305. The cubic root of 123312112 is about 497.7392763293.

Adding to 123312112 its reverse (211213321), we get a palindrome (334525433).

The spelling of 123312112 in words is "one hundred twenty-three million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 101 112 154 176 202 308 404 616 707 808 991 1111 1232 1414 1616 1982 2222 2828 3964 4444 5656 6937 7777 7928 8888 10901 11312 13874 15554 15856 17776 21802 27748 31108 43604 55496 62216 76307 87208 100091 110992 124432 152614 174416 200182 305228 400364 610456 700637 800728 1101001 1220912 1401274 1601456 2202002 2802548 4404004 5605096 7707007 8808008 11210192 15414014 17616016 30828028 61656056 123312112