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12133020101220 = 223457489518581
BaseRepresentation
bin1011000010001111000001…
…0110100110101001100100
31120221220110000212101110000
42300203300112212221210
53042241411121214340
641445455452301300
72361403356142464
oct260436026465144
946856400771400
1012133020101220
1139586485a3757
12143b563a71830
136a01a6196155
142dd354203ba4
1516091ae98d30
hexb08f05a6a64

12133020101220 has 60 divisors (see below), whose sum is σ = 38061733433724. Its totient is φ = 3235472026560.

The previous prime is 12133020101207. The next prime is 12133020101269. The reversal of 12133020101220 is 2210102033121.

12133020101220 is a `hidden beast` number, since 1 + 213 + 30 + 201 + 0 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3285584013924 + 8847436087296 = 1812618^2 + 2974464^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 12133020101193 and 12133020101202.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3744757671 + ... + 3744760910.

Almost surely, 212133020101220 is an apocalyptic number.

12133020101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133020101220 is an abundant number, since it is smaller than the sum of its proper divisors (25928713332504).

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

12133020101220 is a wasteful number, since it uses less digits than its factorization.

12133020101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7489518602 (or 7489518591 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12133020101220 its reverse (2210102033121), we get a palindrome (14343122134341).

The spelling of 12133020101220 in words is "twelve trillion, one hundred thirty-three billion, twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7489518581 14979037162 22468555743 29958074324 37447592905 44937111486 67405667229 74895185810 89874222972 112342778715 134811334458 149790371620 202217001687 224685557430 269622668916 337028336145 404434003374 449371114860 606651005061 674056672290 808868006748 1011085008435 1213302010122 1348113344580 2022170016870 2426604020244 3033255025305 4044340033740 6066510050610 12133020101220