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1222122122112 = 27325609124277
BaseRepresentation
bin10001110010001100001…
…001111010101110000000
311022211111210101100111110
4101302030021322232000
5130010401230401422
62333233554243320
7154203216431613
oct21621411725600
94284453340443
101222122122112
11431332093941
12178a32286540
138b3268277a8
14432185b817a
1521bcbddd60c
hex11c8c27ab80

1222122122112 has 64 divisors (see below), whose sum is σ = 3246414771600. Its totient is φ = 407354855424.

The previous prime is 1222122122101. The next prime is 1222122122129. The reversal of 1222122122112 is 2112212212221.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9771718 + ... + 9895994.

Almost surely, 21222122122112 is an apocalyptic number.

1222122122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1222122122112 is an abundant number, since it is smaller than the sum of its proper divisors (2024292649488).

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

1222122122112 is a wasteful number, since it uses less digits than its factorization.

1222122122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149903 (or 149891 counting only the distinct ones).

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

Adding to 1222122122112 its reverse (2112212212221), we get a palindrome (3334334334333).

The spelling of 1222122122112 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 25609 51218 76827 102436 124277 153654 204872 248554 307308 372831 409744 497108 614616 745662 819488 994216 1229232 1491324 1638976 1988432 2458464 2982648 3277952 3976864 4916928 5965296 7953728 9833856 11930592 15907456 23861184 47722368 3182609693 6365219386 9547829079 12730438772 19095658158 25460877544 38191316316 50921755088 76382632632 101843510176 152765265264 203687020352 305530530528 407374040704 611061061056 1222122122112