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1231312201200 = 24365215532719
BaseRepresentation
bin10001111010101111111…
…011010010010111110000
311100201020021010202000000
4101322233323102113300
5130133211410414300
62341353525430000
7154650031010244
oct21725773222760
94321207122000
101231312201200
11435218701324
1217a777b6b300
138c15c79a503
144384ad4c424
1522068b14c00
hex11eafed25f0

1231312201200 has 420 divisors, whose sum is σ = 4439800626240. Its totient is φ = 328017807360.

The previous prime is 1231312201157. The next prime is 1231312201261. The reversal of 1231312201200 is 21022131321.

1231312201200 is a `hidden beast` number, since 1 + 231 + 31 + 2 + 201 + 200 = 666.

It is a super-2 number, since 2×12313122012002 (a number of 25 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 83 ways as a sum of consecutive naturals, for example, 452853441 + ... + 452856159.

It is an arithmetic number, because the mean of its divisors is an integer number (10570953872).

Almost surely, 21231312201200 is an apocalyptic number.

1231312201200 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 1231312201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219900313120).

1231312201200 is an abundant number, since it is smaller than the sum of its proper divisors (3208488425040).

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

1231312201200 is a wasteful number, since it uses less digits than its factorization.

1231312201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4282 counting only the distinct ones).

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

Adding to 1231312201200 its reverse (21022131321), we get a palindrome (1252334332521).

The spelling of 1231312201200 in words is "one trillion, two hundred thirty-one billion, three hundred twelve million, two hundred one thousand, two hundred".