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122221210122001 = 17191079513505237
BaseRepresentation
bin11011110010100011010111…
…110100000011011100010001
3121000202020022021111101222001
4123302203113310003130101
5112004433014242401001
61111535352050314001
734513122344536504
oct3362432764033421
9530666267441861
10122221210122001
1135a417a68a4841
121185b357b88901
1353275452b4553
1422277768cd13b
15e1e3c2bad001
hex6f28d7d03711

122221210122001 has 16 divisors (see below), whose sum is σ = 136223082927360. Its totient is φ = 108976385145600.

The previous prime is 122221210121987. The next prime is 122221210122041. The reversal of 122221210122001 is 100221012122221.

It is not a de Polignac number, because 122221210122001 - 215 = 122221210089233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122221210122001.

It is not an unprimeable number, because it can be changed into a prime (122221210122041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33115555 + ... + 36620791.

It is an arithmetic number, because the mean of its divisors is an integer number (8513942682960).

Almost surely, 2122221210122001 is an apocalyptic number.

It is an amenable number.

122221210122001 is a deficient number, since it is larger than the sum of its proper divisors (14001872805359).

122221210122001 is a wasteful number, since it uses less digits than its factorization.

122221210122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613224.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122221210122001 its reverse (100221012122221), we get a palindrome (222442222244222).

The spelling of 122221210122001 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred ten million, one hundred twenty-two thousand, one".

Divisors: 1 17 19 323 107951 1835167 2051069 3505237 34868173 59589029 66599503 1132191551 378393839387 6432695269579 7189482948353 122221210122001