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120130033212 = 223271574930269
BaseRepresentation
bin110111111100001001…
…1101101011000111100
3102111002001211222112100
41233320103231120330
53432011242030322
6131104215305100
711451635301660
oct1577023553074
9374061758470
10120130033212
1146a462a9a92
121b34737b190
13b436114cb7
145b587148a0
1531d15dddac
hex1bf84ed63c

120130033212 has 72 divisors (see below), whose sum is σ = 347075820000. Its totient is φ = 34319553408.

The previous prime is 120130033211. The next prime is 120130033217. The reversal of 120130033212 is 212330031021.

120130033212 is a `hidden beast` number, since 1 + 20 + 1 + 300 + 332 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120130033211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3953614 + ... + 3983882.

It is an arithmetic number, because the mean of its divisors is an integer number (4820497500).

Almost surely, 2120130033212 is an apocalyptic number.

120130033212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120130033212 is an abundant number, since it is smaller than the sum of its proper divisors (226945786788).

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

120130033212 is a wasteful number, since it uses less digits than its factorization.

120130033212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46035 (or 46030 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120130033212 its reverse (212330031021), we get a palindrome (332460064233).

The spelling of 120130033212 in words is "one hundred twenty billion, one hundred thirty million, thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 15749 30269 31498 47247 60538 62996 90807 94494 110243 121076 141741 181614 188988 211883 220486 272421 283482 330729 363228 423766 440972 544842 566964 635649 661458 847532 992187 1089684 1271298 1322916 1906947 1984374 2542596 3813894 3968748 7627788 476706481 953412962 1430119443 1906825924 2860238886 3336945367 4290358329 5720477772 6673890734 8580716658 10010836101 13347781468 17161433316 20021672202 30032508303 40043344404 60065016606 120130033212