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12220002122000 = 245321128957351
BaseRepresentation
bin1011000111010011000011…
…1000101011100100010000
31121021012221221212212101012
42301310300320223210100
53100203031020401000
641553442543030052
72400603021132011
oct261646070534420
947235857785335
1012220002122000
113991523694342
121454399b9b328
136a845897a4ba
14303646379008
15162d0c3ce735
hexb1d30e2b910

12220002122000 has 80 divisors (see below), whose sum is σ = 29688003905664. Its totient is φ = 4864834800000.

The previous prime is 12220002121939. The next prime is 12220002122059. The reversal of 12220002122000 is 22120002221.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 14056676 + ... + 14900675.

Almost surely, 212220002122000 is an apocalyptic number.

12220002122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220002122000 is an abundant number, since it is smaller than the sum of its proper divisors (17468001783664).

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

12220002122000 is a wasteful number, since it uses less digits than its factorization.

12220002122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28957585 (or 28957569 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12220002122000 its reverse (22120002221), we get a palindrome (12242122124221).

The spelling of 12220002122000 in words is "twelve trillion, two hundred twenty billion, two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 250 400 422 500 844 1000 1055 1688 2000 2110 3376 4220 5275 8440 10550 16880 21100 26375 42200 52750 84400 105500 211000 422000 28957351 57914702 115829404 144786755 231658808 289573510 463317616 579147020 723933775 1158294040 1447867550 2316588080 2895735100 3619668875 5791470200 6110001061 7239337750 11582940400 12220002122 14478675500 24440004244 28957351000 30550005305 48880008488 57914702000 61100010610 97760016976 122200021220 152750026525 244400042440 305500053050 488800084880 611000106100 763750132625 1222000212200 1527500265250 2444000424400 3055000530500 6110001061000 12220002122000