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1122112121211 = 331559200313309
BaseRepresentation
bin10000010101000011000…
…110000010100101111011
310222021100220220220121000
4100111003012002211323
5121341041200334321
62215254033020043
7144032661441144
oct20250306024573
93867326826530
101122112121211
113a2981047a34
121615810b4623
1381a78c25c73
143c44c0b2acb
151e2c6d7a826
hex1054318297b

1122112121211 has 32 divisors (see below), whose sum is σ = 1664410176000. Its totient is φ = 747165523104.

The previous prime is 1122112121203. The next prime is 1122112121257. The reversal of 1122112121211 is 1121212112211.

It is a happy number.

It is not a de Polignac number, because 1122112121211 - 23 = 1122112121203 is a prime.

It is a super-2 number, since 2×11221121212112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122112121411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 84305625 + ... + 84318933.

It is an arithmetic number, because the mean of its divisors is an integer number (52012818000).

Almost surely, 21122112121211 is an apocalyptic number.

1122112121211 is a deficient number, since it is larger than the sum of its proper divisors (542298054789).

1122112121211 is a wasteful number, since it uses less digits than its factorization.

1122112121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16880 (or 16874 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 1122112121211 its reverse (1121212112211), we get a palindrome (2243324233422).

The spelling of 1122112121211 in words is "one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 9 27 1559 2003 4677 6009 13309 14031 18027 39927 42093 54081 119781 359343 3122677 9368031 20748731 26657927 28104093 62246193 79973781 84312279 186738579 239921343 560215737 719764029 41559708193 124679124579 374037373737 1122112121211