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12100102002112 = 267910872201671
BaseRepresentation
bin1011000000010100011001…
…0010000001010111000000
31120211202110220122200122011
42300011012102001113000
53041222002103031422
641422413215222304
72356126544002165
oct260050622012700
946752426580564
1012100102002112
113945696149673
1214350b7817994
1369a05b3941b7
142db9103d206c
1515eb410a8077
hexb01464815c0

12100102002112 has 56 divisors (see below), whose sum is σ = 24337458421760. Its totient is φ = 5967969995520.

The previous prime is 12100102002061. The next prime is 12100102002113. The reversal of 12100102002112 is 21120020100121.

It is a junction number, because it is equal to n+sod(n) for n = 12100102002092 and 12100102002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100102002113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4395037 + ... + 6596707.

Almost surely, 212100102002112 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 12100102002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12168729210880).

12100102002112 is an abundant number, since it is smaller than the sum of its proper divisors (12237356419648).

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

12100102002112 is a wasteful number, since it uses less digits than its factorization.

12100102002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202849 (or 2202839 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12100102002112 its reverse (21120020100121), we get a palindrome (33220122102233).

The spelling of 12100102002112 in words is "twelve trillion, one hundred billion, one hundred two million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1087 1264 2174 2528 4348 5056 8696 17392 34784 69568 85873 171746 343492 686984 1373968 2201671 2747936 4403342 5495872 8806684 17613368 35226736 70453472 140906944 173932009 347864018 695728036 1391456072 2393216377 2782912144 4786432754 5565824288 9572865508 11131648576 19145731016 38291462032 76582924064 153165848128 189064093783 378128187566 756256375132 1512512750264 3025025500528 6050051001056 12100102002112