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12290011120 = 245179858241
BaseRepresentation
bin10110111001000101…
…01010111111110000
31011201111211020211001
423130202222333300
5200132220323440
65351305331344
7613362241132
oct133442527760
934644736731
1012290011120
115237433292
12246ba96b54
13120b275b3a
14848351052
154bde59b9a
hex2dc8aaff0

12290011120 has 40 divisors (see below), whose sum is σ = 28733942160. Its totient is φ = 4888535040.

The previous prime is 12290011099. The next prime is 12290011189. The reversal of 12290011120 is 2111009221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 414801 + ... + 443440.

It is an arithmetic number, because the mean of its divisors is an integer number (718348554).

Almost surely, 212290011120 is an apocalyptic number.

12290011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12290011120 is an abundant number, since it is smaller than the sum of its proper divisors (16443931040).

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

12290011120 is a wasteful number, since it uses less digits than its factorization.

12290011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858433 (or 858427 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 12290011120 in words is "twelve billion, two hundred ninety million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 14320 858241 1716482 3432964 4291205 6865928 8582410 13731856 17164820 34329640 68659280 153625139 307250278 614500556 768125695 1229001112 1536251390 2458002224 3072502780 6145005560 12290011120