Search a number
-
+
122111323123320 = 233353721036071321
BaseRepresentation
bin11011110000111101000010…
…000010011010111001111000
3121000100201200001201111021000
4123300331002002122321320
5112001132442204421240
61111413100054445000
734502152264501116
oct3360750202327170
9530321601644230
10122111323123320
11359aa137516253
1211841bab063760
13531a082330b3b
142222310722ab6
15e1b5e0987430
hex6f0f4209ae78

122111323123320 has 768 divisors, whose sum is σ = 423413764300800. Its totient is φ = 31299935293440.

The previous prime is 122111323123271. The next prime is 122111323123331. The reversal of 122111323123320 is 23321323111221.

122111323123320 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 1 + 323 + 1 + 2 + 332 + 0 = 666.

It is a super-2 number, since 2×1221113231233202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92438548260 + ... + 92438549580.

It is an arithmetic number, because the mean of its divisors is an integer number (551320005600).

Almost surely, 2122111323123320 is an apocalyptic number.

122111323123320 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 122111323123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211706882150400).

122111323123320 is an abundant number, since it is smaller than the sum of its proper divisors (301302441177480).

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

122111323123320 is a wasteful number, since it uses less digits than its factorization.

122111323123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122111323123320 its reverse (23321323111221), we get a palindrome (145432646234541).

The spelling of 122111323123320 in words is "one hundred twenty-two trillion, one hundred eleven billion, three hundred twenty-three million, one hundred twenty-three thousand, three hundred twenty".