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2212124212122 = 231131012779901
BaseRepresentation
bin100000001100001100111…
…000001011101110011010
321211110212201222022210220
4200030030320023232122
5242220412244241442
64412122535020510
7315551333362206
oct40141470135632
97743781868726
102212124212122
1178317a4a2000
122b8883b0a736
131307aa688256
14790d2c83b06
153c820a5aeec
hex2030ce0bb9a

2212124212122 has 128 divisors (see below), whose sum is σ = 4932762575616. Its totient is φ = 661240800000.

The previous prime is 2212124212097. The next prime is 2212124212171.

2212124212122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2212124212092 and 2212124212101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223419372 + ... + 223429272.

It is an arithmetic number, because the mean of its divisors is an integer number (38537207622).

Almost surely, 22212124212122 is an apocalyptic number.

2212124212122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212124212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466381287808).

2212124212122 is an abundant number, since it is smaller than the sum of its proper divisors (2720638363494).

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

2212124212122 is a wasteful number, since it uses less digits than its factorization.

2212124212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10317 (or 10295 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The spelling of 2212124212122 in words is "two trillion, two hundred twelve billion, one hundred twenty-four million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 277 303 363 554 606 726 831 1111 1331 1662 2222 2662 3047 3333 3993 6094 6666 7986 9141 9901 12221 18282 19802 24442 27977 29703 33517 36663 55954 59406 67034 73326 83931 100551 108911 134431 167862 201102 217822 268862 307747 326733 368687 403293 615494 653466 737374 806586 923241 1000001 1106061 1198021 1846482 2000002 2212122 2396042 2742577 3000003 3385217 3594063 5485154 6000006 6770434 7188126 8227731 10155651 11000011 13178231 16455462 20311302 22000022 26356462 30168347 33000033 37237387 39534693 60336694 66000066 74474774 79069386 90505041 111712161 121000121 181010082 223424322 242000242 277000277 331851817 363000363 554000554 663703634 726000726 831000831 995555451 1331001331 1662001662 1991110902 2662002662 3047003047 3650369987 3993003993 6094006094 7300739974 7986007986 9141009141 10951109961 18282018282 21902219922 33517033517 67034067034 100551100551 201102201102 368687368687 737374737374 1106062106061 2212124212122