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1220122112201 = 17237394145427
BaseRepresentation
bin10001110000010100111…
…100011111000011001001
311022122100102000022200022
4101300110330133003021
5124442302230042301
62332303311150225
7154102522556126
oct21602474370311
94278312008608
101220122112201
114304a613a893
12178574515375
138b098378a85
14430a8b1974d
1521b11527d1b
hex11c14f1f0c9

1220122112201 has 32 divisors (see below), whose sum is σ = 1368012250368. Its totient is φ = 1082199951360.

The previous prime is 1220122112191. The next prime is 1220122112213. The reversal of 1220122112201 is 1022112210221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1220122112201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1220122112201.

It is not an unprimeable number, because it can be changed into a prime (1220122112501) 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, 26836250 + ... + 26881676.

It is an arithmetic number, because the mean of its divisors is an integer number (42750382824).

Almost surely, 21220122112201 is an apocalyptic number.

It is an amenable number.

1220122112201 is a deficient number, since it is larger than the sum of its proper divisors (147890138167).

1220122112201 is a wasteful number, since it uses less digits than its factorization.

1220122112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46481.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1220122112201 its reverse (1022112210221), we get a palindrome (2242234322422).

The spelling of 1220122112201 in words is "one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twelve thousand, two hundred one".

Divisors: 1 17 23 73 391 941 1241 1679 15997 21643 28543 45427 68693 367931 772259 1044821 1167781 1579939 3316171 17761957 26858963 42746807 56374907 76271933 726695719 983176561 1296622861 3120516911 16714001537 53048787487 71771888953 1220122112201