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123032010112 = 271127979967
BaseRepresentation
bin111001010010101000…
…1110111110110000000
3102202120022102200110021
41302211101313312000
54003432143310422
6132304202543224
711613563555014
oct1624521676600
9382508380407
10123032010112
11481a53a9200
121ba17207b14
13b7a93c87ab
145d51cc2544
15330126ddc7
hex1ca5477d80

123032010112 has 96 divisors (see below), whose sum is σ = 269775646560. Its totient is φ = 55847869440.

The previous prime is 123032010097. The next prime is 123032010119. The reversal of 123032010112 is 211010230321.

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 (123032010119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12338953 + ... + 12348919.

It is an arithmetic number, because the mean of its divisors is an integer number (2810162985).

Almost surely, 2123032010112 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 123032010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134887823280).

123032010112 is an abundant number, since it is smaller than the sum of its proper divisors (146743636448).

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

123032010112 is an equidigital number, since it uses as much as digits as its factorization.

123032010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10800 (or 10777 counting only the distinct ones).

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

Adding to 123032010112 its reverse (211010230321), we get a palindrome (334042240433).

The spelling of 123032010112 in words is "one hundred twenty-three billion, thirty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 797 968 1408 1594 1936 3188 3872 6376 7744 8767 9967 12752 15488 17534 19934 25504 35068 39868 51008 70136 79736 96437 102016 109637 140272 159472 192874 219274 280544 318944 385748 438548 561088 637888 771496 877096 1122176 1206007 1275776 1542992 1754192 2412014 3085984 3508384 4824028 6171968 7016768 7943699 9648056 12343936 14033536 15887398 19296112 31774796 38592224 63549592 77184448 87380689 127099184 154368896 174761378 254198368 349522756 508396736 699045512 961187579 1016793472 1398091024 1922375158 2796182048 3844750316 5592364096 7689500632 11184728192 15379001264 30758002528 61516005056 123032010112