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123002130101112 = 233247125832888671
BaseRepresentation
bin11011111101111010101010…
…010001010111001101111000
3121010111212222221012122210100
4123331322222101113031320
5112110231330301213422
61113334222023515400
734623416310044463
oct3375725221271570
9533455887178710
10123002130101112
1136212a01868429
12119667785b8b60
135383088356722
142253498c0a2da
15e3487adaa7ac
hex6fdeaa457378

123002130101112 has 96 divisors (see below), whose sum is σ = 340245813473280. Its totient is φ = 40125151517760.

The previous prime is 123002130101107. The next prime is 123002130101119. The reversal of 123002130101112 is 211101031200321.

123002130101112 is a `hidden beast` number, since 1 + 230 + 0 + 21 + 301 + 0 + 1 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123002130101119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41136537 + ... + 44025207.

It is an arithmetic number, because the mean of its divisors is an integer number (3544227223680).

Almost surely, 2123002130101112 is an apocalyptic number.

123002130101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123002130101112 is an abundant number, since it is smaller than the sum of its proper divisors (217243683372168).

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

123002130101112 is a wasteful number, since it uses less digits than its factorization.

123002130101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901313 (or 2901306 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 123002130101112 its reverse (211101031200321), we get a palindrome (334103161301433).

The spelling of 123002130101112 in words is "one hundred twenty-three trillion, two billion, one hundred thirty million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 12583 25166 37749 50332 75498 100664 113247 150996 226494 301992 452988 591401 905976 1182802 1774203 2365604 2888671 3548406 4731208 5322609 5777342 7096812 8666013 10645218 11554684 14193624 17332026 21290436 23109368 25998039 34664052 42580872 51996078 69328104 103992156 135767537 207984312 271535074 407302611 543070148 814605222 1086140296 1221907833 1629210444 2443815666 3258420888 4887631332 9775262664 36348147193 72696294386 109044441579 145392588772 218088883158 290785177544 327133324737 436177766316 654266649474 872355532632 1308533298948 1708362918071 2617066597896 3416725836142 5125088754213 6833451672284 10250177508426 13666903344568 15375266262639 20500355016852 30750532525278 41000710033704 61501065050556 123002130101112