Search a number
-
+
122122110211220 = 2257872300787223
BaseRepresentation
bin11011110001000111000100…
…111111111001010010010100
3121000101202111211112100000002
4123301013010333321102110
5112001322040203224340
61111422042315310432
734503013510311020
oct3361070477712224
9530352454470002
10122122110211220
1135a03772552029
12118440bb74b418
13531b0b10ccca2
142222a5520d380
15e1ba229bb715
hex6f11c4ff9494

122122110211220 has 24 divisors (see below), whose sum is σ = 293093064507264. Its totient is φ = 41870437786656.

The previous prime is 122122110211187. The next prime is 122122110211267. The reversal of 122122110211220 is 22112011221221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122122110211192 and 122122110211201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436150393472 + ... + 436150393751.

It is an arithmetic number, because the mean of its divisors is an integer number (12212211021136).

Almost surely, 2122122110211220 is an apocalyptic number.

122122110211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122110211220 is an abundant number, since it is smaller than the sum of its proper divisors (170970954296044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122122110211220 is a wasteful number, since it uses less digits than its factorization.

122122110211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872300787239 (or 872300787237 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122122110211220 its reverse (22112011221221), we get a palindrome (144234121432441).

The spelling of 122122110211220 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred ten million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 872300787223 1744601574446 3489203148892 4361503936115 6106105510561 8723007872230 12212211021122 17446015744460 24424422042244 30530527552805 61061055105610 122122110211220