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2212012102122 = 2321015032418943
BaseRepresentation
bin100000001100000110001…
…100100001000111101010
321211110120221000112210200
4200030012030201013222
5242220200044231442
64412103452053030
7315545502431664
oct40140614410752
97743527015720
102212012102122
1178312218a109
122b8852464176
13130790394684
14790c201d534
153c815cb334c
hex203063211ea

2212012102122 has 48 divisors (see below), whose sum is σ = 4849769852928. Its totient is φ = 728585330400.

The previous prime is 2212012102121. The next prime is 2212012102159.

It is a happy number.

2212012102122 is a `hidden beast` number, since 221 + 20 + 1 + 210 + 212 + 2 = 666.

2212012102122 is nontrivially palindromic in base 10.

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 = 2212012102095 and 2212012102104.

It is not an unprimeable number, because it can be changed into a prime (2212012102121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295018 + ... + 2123925.

It is an arithmetic number, because the mean of its divisors is an integer number (101036871936).

Almost surely, 22212012102122 is an apocalyptic number.

2212012102122 is an abundant number, since it is smaller than the sum of its proper divisors (2637757750806).

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

2212012102122 is a wasteful number, since it uses less digits than its factorization.

2212012102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419555 (or 2419552 counting only the distinct ones).

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

The spelling of 2212012102122 in words is "two trillion, two hundred twelve billion, twelve million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 503 606 909 1006 1509 1818 3018 4527 9054 50803 101606 152409 304818 457227 914454 2418943 4837886 7256829 14513658 21770487 43540974 244313243 488626486 732939729 1216728329 1465879458 2198819187 2433456658 3650184987 4397638374 7300369974 10950554961 21901109922 122889561229 245779122458 368668683687 737337367374 1106006051061 2212012102122