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12001113212310 = 236519232163789
BaseRepresentation
bin1010111010100011101000…
…0101110000010110010110
31120111021222012210011000000
42232220322011300112112
53033111234440243220
641305122454032130
72346023526114315
oct256507205602626
946437865704000
1012001113212310
1139077095a3782
121419a90648646
136909142182b1
142d6bdd79a27c
1515c29aa16390
hexaea3a170596

12001113212310 has 336 divisors, whose sum is σ = 35639793327600. Its totient is φ = 2900022466176.

The previous prime is 12001113212303. The next prime is 12001113212311. The reversal of 12001113212310 is 1321231110021.

12001113212310 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 111 + 321 + 231 + 0 = 666.

It is a super-2 number, since 2×120011132123102 (a number of 27 digits) contains 22 as substring.

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 (12001113212311) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 73189896 + ... + 73353684.

It is an arithmetic number, because the mean of its divisors is an integer number (106070813475).

Almost surely, 212001113212310 is an apocalyptic number.

12001113212310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001113212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819896663800).

12001113212310 is an abundant number, since it is smaller than the sum of its proper divisors (23638680115290).

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

12001113212310 is a wasteful number, since it uses less digits than its factorization.

12001113212310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163879 (or 163841 counting only the distinct ones).

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

Adding to 12001113212310 its reverse (1321231110021), we get a palindrome (13322344322331).

The spelling of 12001113212310 in words is "twelve trillion, one billion, one hundred thirteen million, two hundred twelve thousand, three hundred ten".