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122220020211201 = 32111722177168547
BaseRepresentation
bin11011110010100010010000…
…111000111001111000000001
3121000202010020100110200012200
4123302202100320321320001
5112004423100133224301
61111535034022343413
734513051015502013
oct3362422070717001
9530663210420180
10122220020211201
1135a4124615a190
121185b08558ab69
1353273b5913413
1422276a28681b3
15e1e3534b6c86
hex6f2890e39e01

122220020211201 has 24 divisors (see below), whose sum is σ = 192590267916384. Its totient is φ = 74072299076160.

The previous prime is 122220020211161. The next prime is 122220020211301. The reversal of 122220020211201 is 102112020022221.

It is a happy number.

122220020211201 is a `hidden beast` number, since 1 + 222 + 200 + 20 + 21 + 1 + 201 = 666.

It is not a de Polignac number, because 122220020211201 - 210 = 122220020210177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122220020211001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13465210 + ... + 20633756.

It is an arithmetic number, because the mean of its divisors is an integer number (8024594496516).

Almost surely, 2122220020211201 is an apocalyptic number.

122220020211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122220020211201 is a deficient number, since it is larger than the sum of its proper divisors (70370247705183).

122220020211201 is a wasteful number, since it uses less digits than its factorization.

122220020211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340781 (or 7340778 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122220020211201 its reverse (102112020022221), we get a palindrome (224332040233422).

The spelling of 122220020211201 in words is "one hundred twenty-two trillion, two hundred twenty billion, twenty million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 9 11 33 99 172217 516651 1549953 1894387 5683161 7168547 17049483 21505641 64516923 78854017 236562051 709686153 1234545658699 3703636976097 11110910928291 13580002245689 40740006737067 122220020211201