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120121131400 = 23521733471709
BaseRepresentation
bin110111111011111000…
…1110000000110001000
3102111001110002201112121
41233313301300012020
53432002002201100
6131103300421024
711451466525114
oct1576761600610
9374043081477
10120121131400
1146a41279a16
121b3443a7774
13b43431925a
145b57478744
1531d093151a
hex1bf7c70188

120121131400 has 48 divisors (see below), whose sum is σ = 280896056100. Its totient is φ = 47770702080.

The previous prime is 120121131397. The next prime is 120121131407. The reversal of 120121131400 is 4131121021.

It can be written as a sum of positive squares in 6 ways, for example, as 87352166916 + 32768964484 = 295554^2 + 181022^2 .

It is not an unprimeable number, because it can be changed into a prime (120121131407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1701255 + ... + 1770454.

Almost surely, 2120121131400 is an apocalyptic number.

120121131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121131400 is an abundant number, since it is smaller than the sum of its proper divisors (160774924700).

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

120121131400 is a wasteful number, since it uses less digits than its factorization.

120121131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471898 (or 3471889 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 120121131400 its reverse (4131121021), we get a palindrome (124252252421).

The spelling of 120121131400 in words is "one hundred twenty billion, one hundred twenty-one million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1384 1730 3460 4325 6920 8650 17300 34600 3471709 6943418 13886836 17358545 27773672 34717090 69434180 86792725 138868360 173585450 347170900 600605657 694341800 1201211314 2402422628 3003028285 4804845256 6006056570 12012113140 15015141425 24024226280 30030282850 60060565700 120121131400