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2000120310000 = 243354193112577
BaseRepresentation
bin11101000110110000011…
…101011110100011110000
321002012122211020020021000
4131012300131132203300
5230232221244410000
64130501555402000
7264334563060051
oct35066035364360
97065584206230
102000120310000
1170127885453a
122837782b3300
131167c2469417
146cb4084a728
1537063845000
hex1d1b075e8f0

2000120310000 has 800 divisors, whose sum is σ = 7795864524800. Its totient is φ = 488954880000.

The previous prime is 2000120309989. The next prime is 2000120310017. The reversal of 2000120310000 is 130210002.

It is a happy number.

It is a super-2 number, since 2×20001203100002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 159023712 + ... + 159036288.

It is an arithmetic number, because the mean of its divisors is an integer number (9744830656).

Almost surely, 22000120310000 is an apocalyptic number.

2000120310000 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 2000120310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897932262400).

2000120310000 is an abundant number, since it is smaller than the sum of its proper divisors (5795744214800).

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

2000120310000 is a wasteful number, since it uses less digits than its factorization.

2000120310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664 (or 12637 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2000120310000 its reverse (130210002), we get a palindrome (2000250520002).

The spelling of 2000120310000 in words is "two trillion, one hundred twenty million, three hundred ten thousand".