Search a number
-
+
122213120233320 = 233254912345929473
BaseRepresentation
bin11011110010011011110101…
…100111100100111101101000
3121000201110102110221110222100
4123302123311213210331220
5112004314432234431240
61111531533220053400
734512415022606304
oct3362336547447550
9530643373843870
10122213120233320
1135a39325311726
121185987a834260
13532685625b07c
14222720a306d04
15e1e09c858e30
hex6f26f59e4f68

122213120233320 has 192 divisors, whose sum is σ = 398032057425600. Its totient is φ = 32521300439040.

The previous prime is 122213120233307. The next prime is 122213120233363. The reversal of 122213120233320 is 23332021312221.

122213120233320 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 312 + 0 + 23 + 3 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4146598104 + ... + 4146627576.

It is an arithmetic number, because the mean of its divisors is an integer number (2073083632425).

Almost surely, 2122213120233320 is an apocalyptic number.

122213120233320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122213120233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199016028712800).

122213120233320 is an abundant number, since it is smaller than the sum of its proper divisors (275818937192280).

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

122213120233320 is a wasteful number, since it uses less digits than its factorization.

122213120233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53440 (or 53433 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122213120233320 its reverse (23332021312221), we get a palindrome (145545141545541).

The spelling of 122213120233320 in words is "one hundred twenty-two trillion, two hundred thirteen billion, one hundred twenty million, two hundred thirty-three thousand, three hundred twenty".