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20123312000 = 275311432659
BaseRepresentation
bin10010101111011100…
…010101111110000000
31220221102120011111212
4102233130111332000
5312203031441000
613124452225252
71311450221051
oct225734257600
956842504455
1020123312000
1185970a3170
123a9730b228
131b890c120c
14d8c824728
157cb9c7c35
hex4af715f80

20123312000 has 256 divisors, whose sum is σ = 55870214400. Its totient is φ = 7144704000.

The previous prime is 20123311987. The next prime is 20123312003. The reversal of 20123312000 is 21332102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123312003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7566671 + ... + 7569329.

It is an arithmetic number, because the mean of its divisors is an integer number (218243025).

Almost surely, 220123312000 is an apocalyptic number.

20123312000 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 20123312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27935107200).

20123312000 is an abundant number, since it is smaller than the sum of its proper divisors (35746902400).

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

20123312000 is a wasteful number, since it uses less digits than its factorization.

20123312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20123312000 its reverse (21332102), we get a palindrome (20144644102).

The spelling of 20123312000 in words is "twenty billion, one hundred twenty-three million, three hundred twelve thousand".