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120131212133112 = 233101223222238031
BaseRepresentation
bin11011010100001000111010…
…001110011100001011111000
3120202100102122201120000121020
4123110020322032130023320
5111221212210301224422
61103255303400142440
734206123266002245
oct3324107216341370
9522312581500536
10120131212133112
11353063a7486944
1211582297a67a20
13520542b48341b
14219454b5065cc
15dd4d4daee95c
hex6d423a39c2f8

120131212133112 has 64 divisors (see below), whose sum is σ = 304661673308160. Its totient is φ = 39469474128000.

The previous prime is 120131212133081. The next prime is 120131212133137. The reversal of 120131212133112 is 211331212131021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 110578464 + ... + 111659567.

It is an arithmetic number, because the mean of its divisors is an integer number (4760338645440).

Almost surely, 2120131212133112 is an apocalyptic number.

120131212133112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120131212133112 is an abundant number, since it is smaller than the sum of its proper divisors (184530461175048).

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

120131212133112 is a wasteful number, since it uses less digits than its factorization.

120131212133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222238364 (or 222238360 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 120131212133112 its reverse (211331212131021), we get a palindrome (331462424264133).

The spelling of 120131212133112 in words is "one hundred twenty trillion, one hundred thirty-one billion, two hundred twelve million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 101 202 223 303 404 446 606 669 808 892 1212 1338 1784 2424 2676 5352 22523 45046 67569 90092 135138 180184 270276 540552 222238031 444476062 666714093 888952124 1333428186 1777904248 2666856372 5333712744 22446041131 44892082262 49559080913 67338123393 89784164524 99118161826 134676246786 148677242739 179568329048 198236323652 269352493572 297354485478 396472647304 538704987144 594708970956 1189417941912 5005467172213 10010934344426 15016401516639 20021868688852 30032803033278 40043737377704 60065606066556 120131212133112