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12032101230000 = 24354401070041
BaseRepresentation
bin1010111100010111000100…
…0111101010010110110000
31120121020221211012112211220
42233011301013222112300
53034113220403330000
641331245422505040
72351201453660235
oct257056107522660
946536854175756
1012032101230000
113919870517055
121423a9a435180
136938121b3637
142d84dd11378c
1515ceb12561a0
hexaf1711ea5b0

12032101230000 has 100 divisors (see below), whose sum is σ = 38841227147448. Its totient is φ = 3208560320000.

The previous prime is 12032101229989. The next prime is 12032101230007. The reversal of 12032101230000 is 3210123021.

12032101230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12032101230007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 200505021 + ... + 200565020.

Almost surely, 212032101230000 is an apocalyptic number.

12032101230000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032101230000 is an abundant number, since it is smaller than the sum of its proper divisors (26809125917448).

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

12032101230000 is an equidigital number, since it uses as much as digits as its factorization.

12032101230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401070072 (or 401070051 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12032101230000 its reverse (3210123021), we get a palindrome (12035311353021).

The spelling of 12032101230000 in words is "twelve trillion, thirty-two billion, one hundred one million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 401070041 802140082 1203210123 1604280164 2005350205 2406420246 3208560328 4010700410 4812840492 6016050615 6417120656 8021400820 9625680984 10026751025 12032101230 16042801640 19251361968 20053502050 24064202460 30080253075 32085603280 40107004100 48128404920 50133755125 60160506150 80214008200 96256809840 100267510250 120321012300 150401265375 160428016400 200535020500 240642024600 250668775625 300802530750 401070041000 481284049200 501337551250 601605061500 752006326875 802140082000 1002675102500 1203210123000 1504012653750 2005350205000 2406420246000 3008025307500 4010700410000 6016050615000 12032101230000