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12330031212020 = 2255321701536017
BaseRepresentation
bin1011001101101100111100…
…1000010110010111110100
31121122201222002000202202102
42303123033020112113310
53104003400442241040
642120201012201232
72411546445021014
oct263331710262764
947581862022672
1012330031212020
113a241561a3195
121471786609218
136b59421c1122
14308ac3371c44
15165aebd21515
hexb36cf2165f4

12330031212020 has 48 divisors (see below), whose sum is σ = 26382878858448. Its totient is φ = 4838723635200.

The previous prime is 12330031211989. The next prime is 12330031212029. The reversal of 12330031212020 is 2021213003321.

It can be written as a sum of positive squares in 8 ways, for example, as 1639982461924 + 10690048750096 = 1280618^2 + 3269564^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12330031211983 and 12330031212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330031212029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22735052 + ... + 23271068.

It is an arithmetic number, because the mean of its divisors is an integer number (549643309551).

Almost surely, 212330031212020 is an apocalyptic number.

12330031212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330031212020 is an abundant number, since it is smaller than the sum of its proper divisors (14052847646428).

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

12330031212020 is a wasteful number, since it uses less digits than its factorization.

12330031212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557780 (or 557778 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12330031212020 its reverse (2021213003321), we get a palindrome (14351244215341).

The spelling of 12330031212020 in words is "twelve trillion, three hundred thirty billion, thirty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 21701 43402 86804 108505 217010 434020 536017 1072034 1150153 2144068 2300306 2680085 4600612 5360170 5750765 10720340 11501530 23003060 28408901 56817802 113635604 142044505 284089010 568178020 11632104917 23264209834 46528419668 58160524585 116321049170 232642098340 616501560601 1233003121202 2466006242404 3082507803005 6165015606010 12330031212020