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122122200212001 = 321111523710704527
BaseRepresentation
bin11011110001000111001010…
…010111001110001000100001
3121000101202202002212211212100
4123301013022113032020201
5112001322231223241001
61111422055252321013
734503015652305663
oct3361071227161041
9530352662784770
10122122200212001
1135a03809333a40
1211844125913169
13531b0c69523a2
142222a6315a533
15e1ba2a848586
hex6f11ca5ce221

122122200212001 has 24 divisors (see below), whose sum is σ = 192436670035584. Its totient is φ = 74012805488160.

The previous prime is 122122200211793. The next prime is 122122200212039. The reversal of 122122200212001 is 100212002221221.

It is a happy number.

122122200212001 is a `hidden beast` number, since 1 + 221 + 2 + 220 + 0 + 21 + 200 + 1 = 666.

It is not a de Polignac number, because 122122200212001 - 29 = 122122200211489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122122200212041) 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, 6056200 + ... + 16760726.

It is an arithmetic number, because the mean of its divisors is an integer number (8018194584816).

Almost surely, 2122122200212001 is an apocalyptic number.

122122200212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122122200212001 is a deficient number, since it is larger than the sum of its proper divisors (70314469823583).

122122200212001 is a wasteful number, since it uses less digits than its factorization.

122122200212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10819781 (or 10819778 counting only the distinct ones).

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

Adding to 122122200212001 its reverse (100212002221221), we get a palindrome (222334202433222).

The spelling of 122122200212001 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred million, two hundred twelve thousand, one".

Divisors: 1 3 9 11 33 99 115237 345711 1037133 1267607 3802821 10704527 11408463 32113581 96340743 117749797 353249391 1059748173 1233557577899 3700672733697 11102018201091 13569133356889 40707400070667 122122200212001