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20012332221200 = 24521183333116451
BaseRepresentation
bin1001000110011011110111…
…11101000000001100010000
32121212011022211201020211002
410203031323331000030100
510110340224022034300
6110321312152241132
74133562151124354
oct443157375001420
977764284636732
1020012332221200
116416200900390
1222b26356a01a8
13b22202218347
144d2860039464
1524a87787c5d5
hex12337bf40310

20012332221200 has 240 divisors, whose sum is σ = 53101600780032. Its totient is φ = 7186939200000.

The previous prime is 20012332221191. The next prime is 20012332221247. The reversal of 20012332221200 is 212223321002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1216472975 + ... + 1216489425.

Almost surely, 220012332221200 is an apocalyptic number.

20012332221200 is a gapful number since it is divisible by the number (20) 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 20012332221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26550800390016).

20012332221200 is an abundant number, since it is smaller than the sum of its proper divisors (33089268558832).

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

20012332221200 is a wasteful number, since it uses less digits than its factorization.

20012332221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19894 (or 19883 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20012332221200 its reverse (212223321002), we get a palindrome (20224555542202).

The spelling of 20012332221200 in words is "twenty trillion, twelve billion, three hundred thirty-two million, two hundred twenty-one thousand, two hundred".