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120212131300 = 22529341128693
BaseRepresentation
bin110111111110100110…
…0111000110111100100
3102111021210022222221021
41233331030320313210
53432143301200200
6131120311100524
711453653154002
oct1577514706744
9374253288837
10120212131300
1146a88683548
121b36a971744
13b44a12b351
145b655a5a72
1531d890941a
hex1bfd338de4

120212131300 has 36 divisors (see below), whose sum is σ = 260890278516. Its totient is φ = 48079331200.

The previous prime is 120212131283. The next prime is 120212131307. The reversal of 120212131300 is 3131212021.

It can be written as a sum of positive squares in 6 ways, for example, as 832207104 + 119379924196 = 28848^2 + 345514^2 .

It is not an unprimeable number, because it can be changed into a prime (120212131307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 869754 + ... + 998446.

It is an arithmetic number, because the mean of its divisors is an integer number (7246952181).

Almost surely, 2120212131300 is an apocalyptic number.

120212131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212131300 is an abundant number, since it is smaller than the sum of its proper divisors (140678147216).

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

120212131300 is a wasteful number, since it uses less digits than its factorization.

120212131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138048 (or 138041 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120212131300 its reverse (3131212021), we get a palindrome (123343343321).

The spelling of 120212131300 in words is "one hundred twenty billion, two hundred twelve million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 9341 18682 37364 46705 93410 128693 186820 233525 257386 467050 514772 643465 934100 1286930 2573860 3217325 6434650 12869300 1202121313 2404242626 4808485252 6010606565 12021213130 24042426260 30053032825 60106065650 120212131300