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12100973945112 = 23321321116124297
BaseRepresentation
bin1011000000010111101001…
…0000001110000100011000
31120211211201200100222120100
42300011322100032010120
53041230243312220422
641423035524055400
72356160262254103
oct260057220160430
946754650328510
1012100973945112
113945aa3358318
1214352bb834560
1369a169c160c0
142db99412773a
1515eb928e17ac
hexb017a40e118

12100973945112 has 96 divisors (see below), whose sum is σ = 35311232436480. Its totient is φ = 3721612193280.

The previous prime is 12100973945077. The next prime is 12100973945117. The reversal of 12100973945112 is 21154937900121.

12100973945112 is a `hidden beast` number, since 1 + 2 + 10 + 0 + 97 + 39 + 4 + 511 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100973945117) 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, 1086253 + ... + 5038044.

It is an arithmetic number, because the mean of its divisors is an integer number (367825337880).

Almost surely, 212100973945112 is an apocalyptic number.

12100973945112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12100973945112 is an abundant number, since it is smaller than the sum of its proper divisors (23210258491368).

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

12100973945112 is a wasteful number, since it uses less digits than its factorization.

12100973945112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126433 (or 6126426 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 12100973945112 in words is "twelve trillion, one hundred billion, nine hundred seventy-three million, nine hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2111 4222 6333 8444 12666 16888 18999 25332 27443 37998 50664 54886 75996 82329 109772 151992 164658 219544 246987 329316 493974 658632 987948 1975896 6124297 12248594 18372891 24497188 36745782 48994376 55118673 73491564 79615861 110237346 146983128 159231722 220474692 238847583 318463444 440949384 477695166 636926888 716542749 955390332 1433085498 1910780664 2866170996 5732341992 12928390967 25856781934 38785172901 51713563868 77570345802 103427127736 116355518703 155140691604 168069082571 232711037406 310281383208 336138165142 465422074812 504207247713 672276330284 930844149624 1008414495426 1344552660568 1512621743139 2016828990852 3025243486278 4033657981704 6050486972556 12100973945112