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1200220022112 = 253193717784199
BaseRepresentation
bin10001011101110010101…
…100000010010101100000
311020201222101201101120120
4101131302230002111200
5124131022311201422
62315212400240240
7152466366600636
oct21356254022540
94221871641516
101200220022112
11423012a04a51
1217473b310080
13892460624c7
144213b83d356
152134919c45c
hex11772b02560

1200220022112 has 96 divisors (see below), whose sum is σ = 3406029984000. Its totient is φ = 368773129728.

The previous prime is 1200220022081. The next prime is 1200220022119. The reversal of 1200220022112 is 2112200220021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1200220022091 and 1200220022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200220022119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8824612 + ... + 8959587.

It is an arithmetic number, because the mean of its divisors is an integer number (35479479000).

Almost surely, 21200220022112 is an apocalyptic number.

1200220022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1200220022112 is an abundant number, since it is smaller than the sum of its proper divisors (2205809961888).

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

1200220022112 is a wasteful number, since it uses less digits than its factorization.

1200220022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17784268 (or 17784260 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1200220022112 its reverse (2112200220021), we get a palindrome (3312420242133).

The spelling of 1200220022112 in words is "one trillion, two hundred billion, two hundred twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 74 76 96 111 114 148 152 222 228 296 304 444 456 592 608 703 888 912 1184 1406 1776 1824 2109 2812 3552 4218 5624 8436 11248 16872 22496 33744 67488 17784199 35568398 53352597 71136796 106705194 142273592 213410388 284547184 337899781 426820776 569094368 658015363 675799562 853641552 1013699343 1316030726 1351599124 1707283104 1974046089 2027398686 2632061452 2703198248 3948092178 4054797372 5264122904 5406396496 7896184356 8109594744 10528245808 10812792992 12502291897 15792368712 16219189488 21056491616 25004583794 31584737424 32438378976 37506875691 50009167588 63169474848 75013751382 100018335176 150027502764 200036670352 300055005528 400073340704 600110011056 1200220022112