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12013221231000 = 233253112413111619
BaseRepresentation
bin1010111011010000101111…
…0010001011100110011000
31120112110020001011020010200
42232310023302023212120
53033311034113343000
641314444142542200
72346632551431333
oct256641362134630
946473201136120
1012013221231000
1139118622233a0
1214202ab597960
13691ac38703b2
142d762b89561a
1515c7589c2500
hexaed0bc8b998

12013221231000 has 768 divisors, whose sum is σ = 44650407859200. Its totient is φ = 2889100800000.

The previous prime is 12013221230999. The next prime is 12013221231083. The reversal of 12013221231000 is 13212231021.

12013221231000 is a `hidden beast` number, since 1 + 20 + 1 + 322 + 12 + 310 + 0 + 0 = 666.

12013221231000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120132212310002 (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7420148191 + ... + 7420149809.

It is an arithmetic number, because the mean of its divisors is an integer number (58138551900).

Almost surely, 212013221231000 is an apocalyptic number.

12013221231000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013221231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325203929600).

12013221231000 is an abundant number, since it is smaller than the sum of its proper divisors (32637186628200).

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

12013221231000 is a wasteful number, since it uses less digits than its factorization.

12013221231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12013221231000 its reverse (13212231021), we get a palindrome (12026433462021).

It can be divided in two parts, 12013221 and 231000, that added together give a palindrome (12244221).

The spelling of 12013221231000 in words is "twelve trillion, thirteen billion, two hundred twenty-one million, two hundred thirty-one thousand".