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12120200020 = 225606010001
BaseRepresentation
bin10110100100110101…
…11001001101010100
31011021200021221210001
423102122321031110
5144310232400040
65322401541044
7606231000055
oct132232711524
934250257701
1012120200020
11515a59a735
122423044784
1311b202b7b6
1482d98a72c
154ae0b559a
hex2d26b9354

12120200020 has 12 divisors (see below), whose sum is σ = 25452420084. Its totient is φ = 4848080000.

The previous prime is 12120200009. The next prime is 12120200023. The reversal of 12120200020 is 2000202121.

12120200020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4994814276 + 7125385744 = 70674^2 + 84412^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120200023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 303004981 + ... + 303005020.

It is an arithmetic number, because the mean of its divisors is an integer number (2121035007).

Almost surely, 212120200020 is an apocalyptic number.

12120200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120200020 is an abundant number, since it is smaller than the sum of its proper divisors (13332220064).

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

12120200020 is a wasteful number, since it uses less digits than its factorization.

12120200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606010010 (or 606010008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12120200020 its reverse (2000202121), we get a palindrome (14120402141).

The spelling of 12120200020 in words is "twelve billion, one hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 606010001 1212020002 2424040004 3030050005 6060100010 12120200020