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1221112120001 = 127179293183329
BaseRepresentation
bin10001110001001111111…
…101000100001011000001
311022201220101212221001212
4101301033331010023001
5130001314200320001
62332545434335505
7154136203522214
oct21611775041301
94281811787055
101221112120001
11430963a59354
121787abb8a595
138b1c54c7ac7
14431603c577b
1521b6d3d37bb
hex11c4ff442c1

1221112120001 has 16 divisors (see below), whose sum is σ = 1241833420800. Its totient is φ = 1200610672128.

The previous prime is 1221112119989. The next prime is 1221112120009. The reversal of 1221112120001 is 1000212111221.

It is a cyclic number.

It is not a de Polignac number, because 1221112120001 - 210 = 1221112118977 is a prime.

It is a super-2 number, since 2×12211121200012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1221112120009) 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 15 ways as a sum of consecutive naturals, for example, 6569105 + ... + 6752433.

It is an arithmetic number, because the mean of its divisors is an integer number (77614588800).

Almost surely, 21221112120001 is an apocalyptic number.

It is an amenable number.

1221112120001 is a deficient number, since it is larger than the sum of its proper divisors (20721300799).

1221112120001 is a wasteful number, since it uses less digits than its factorization.

1221112120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183928.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1221112120001 its reverse (1000212111221), we get a palindrome (2221324231222).

The spelling of 1221112120001 in words is "one trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twenty thousand, one".

Divisors: 1 127 179 293 22733 37211 52447 183329 6660769 23282783 32815891 53715397 4167618157 6821855419 9615056063 1221112120001