Search a number
-
+
122311112045052 = 223743191642127611
BaseRepresentation
bin11011110011110111000110…
…011000101011000111111100
3121001001211100200211021210210
4123303313012120223013330
5112012421124140420202
61112044541004432420
734522454243350440
oct3363670630530774
9531054320737723
10122311112045052
1135a769401181a7
1211874867b48710
135332b719b7418
14222bc6477a820
15e218d5614c6c
hex6f3dc662b1fc

122311112045052 has 192 divisors, whose sum is σ = 335559925628928. Its totient is φ = 33948107424000.

The previous prime is 122311112045021. The next prime is 122311112045071. The reversal of 122311112045052 is 250540211113221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4429782727 + ... + 4429810337.

It is an arithmetic number, because the mean of its divisors is an integer number (1747707945984).

Almost surely, 2122311112045052 is an apocalyptic number.

122311112045052 is a gapful number since it is divisible by the number (12) 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 122311112045052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167779962814464).

122311112045052 is an abundant number, since it is smaller than the sum of its proper divisors (213248813583876).

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

122311112045052 is a wasteful number, since it uses less digits than its factorization.

122311112045052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34280 (or 34278 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 122311112045052 its reverse (250540211113221), we get a palindrome (372851323158273).

The spelling of 122311112045052 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred twelve million, forty-five thousand, fifty-two".