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1122212212122 = 2317191229471161
BaseRepresentation
bin10000010101001001000…
…011110110110110011010
310222021121220021001111210
4100111021003312312122
5121341242311241442
62215312010203550
7144035315262321
oct20251103666632
93867556231453
101122212212122
113a2a225a07a1
121615aa7235b6
1381a9389bc61
143c45b4c90b8
151e2d0a4c19c
hex105490f6d9a

1122212212122 has 64 divisors (see below), whose sum is σ = 2503566403200. Its totient is φ = 333264660480.

The previous prime is 1122212212057. The next prime is 1122212212123. The reversal of 1122212212122 is 2212122122211.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1122212212123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2146222 + ... + 2617382.

It is an arithmetic number, because the mean of its divisors is an integer number (39118225050).

Almost surely, 21122212212122 is an apocalyptic number.

1122212212122 is an abundant number, since it is smaller than the sum of its proper divisors (1381354191078).

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

1122212212122 is a wasteful number, since it uses less digits than its factorization.

1122212212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472431.

The product of its digits is 256, while the sum is 21.

Adding to 1122212212122 its reverse (2212122122211), we get a palindrome (3334334334333).

The spelling of 1122212212122 in words is "one trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 323 646 969 1229 1938 2458 3687 7374 20893 23351 41786 46702 62679 70053 125358 140106 396967 471161 793934 942322 1190901 1413483 2381802 2826966 8009737 8952059 16019474 17904118 24029211 26856177 48058422 53712354 152185003 304370006 456555009 579056869 913110018 1158113738 1737170607 3474341214 9843966773 11002080511 19687933546 22004161022 29531900319 33006241533 59063800638 66012483066 187035368687 374070737374 561106106061 1122212212122