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202112012120220 = 223253730347148967
BaseRepresentation
bin101101111101000111011110…
…101011111111000010011100
3222111121201102122001011221200
4231331013132223333002130
5202442400400100321340
61553504550534555500
760400053034164666
oct5575073653770234
9874551378034850
10202112012120220
115944324a879a14
121a8027b3b08b90
1388a1108b4c117
1437ca3b89c9536
1518575e5b1d330
hexb7d1deaff09c

202112012120220 has 72 divisors (see below), whose sum is σ = 629642646788064. Its totient is φ = 52439873413248.

The previous prime is 202112012120209. The next prime is 202112012120237. The reversal of 202112012120220 is 22021210211202.

It is a happy number.

202112012120220 is a `hidden beast` number, since 2 + 0 + 211 + 20 + 1 + 212 + 0 + 220 = 666.

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 = 202112012120193 and 202112012120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15173567824 + ... + 15173581143.

Almost surely, 2202112012120220 is an apocalyptic number.

202112012120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112012120220 is an abundant number, since it is smaller than the sum of its proper divisors (427530634667844).

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

202112012120220 is a wasteful number, since it uses less digits than its factorization.

202112012120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30347149019 (or 30347149014 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202112012120220 its reverse (22021210211202), we get a palindrome (224133222331422).

The spelling of 202112012120220 in words is "two hundred two trillion, one hundred twelve billion, twelve million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 30347148967 60694297934 91041446901 121388595868 151735744835 182082893802 273124340703 303471489670 364165787604 455207234505 546248681406 606942979340 910414469010 1092497362812 1122844511779 1365621703515 1820828938020 2245689023558 2731243407030 3368533535337 4491378047116 5462486814060 5614222558895 6737067070674 10105600606011 11228445117790 13474134141348 16842667676685 20211201212022 22456890235580 33685335353370 40422402424044 50528003030055 67370670706740 101056006060110 202112012120220