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1220202110120 = 235721324147017
BaseRepresentation
bin10001110000011001101…
…101101001110010101000
311022122112222112122012012
4101300121231221302220
5124442433220010440
62332315245535052
7154104513543200
oct21603155516250
94278488478165
101220202110120
1143053730a474
12178597274488
138b0abb08216
14430b55c1400
1521b1857ae65
hex11c19b69ca8

1220202110120 has 96 divisors (see below), whose sum is σ = 3194001386280. Its totient is φ = 418314516480.

The previous prime is 1220202110089. The next prime is 1220202110147. The reversal of 1220202110120 is 210112020221.

It can be written as a sum of positive squares in 4 ways, for example, as 1172399535076 + 47802575044 = 1082774^2 + 218638^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1220202110095 and 1220202110104.

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 23 ways as a sum of consecutive naturals, for example, 25928852 + ... + 25975868.

Almost surely, 21220202110120 is an apocalyptic number.

1220202110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220202110120 is an abundant number, since it is smaller than the sum of its proper divisors (1973799276160).

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

1220202110120 is a wasteful number, since it uses less digits than its factorization.

1220202110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60283 (or 60272 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220202110120 its reverse (210112020221), we get a palindrome (1430314130341).

The spelling of 1220202110120 in words is "one trillion, two hundred twenty billion, two hundred two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 13241 26482 47017 52964 66205 92687 94034 105928 132410 185374 188068 235085 264820 329119 370748 376136 463435 470170 529640 648809 658238 741496 926870 940340 1297618 1316476 1645595 1853740 1880680 2303833 2595236 2632952 3244045 3291190 3707480 4607666 5190472 6488090 6582380 9215332 11519165 12976180 13164760 18430664 23038330 25952360 46076660 92153320 622552097 1245104194 2490208388 3112760485 4357864679 4980416776 6225520970 8715729358 12451041940 17431458716 21789323395 24902083880 30505052753 34862917432 43578646790 61010105506 87157293580 122020211012 152525263765 174314587160 244040422024 305050527530 610101055060 1220202110120