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12213312231120 = 243571121337124909
BaseRepresentation
bin1011000110111010001000…
…1000110001011011010000
31121020120200201200012022220
42301232202020301123100
53100100330412343440
641550415043301040
72400245156034660
oct261564210613320
947216621605286
1012213312231120
113989700399300
12145303167a780
136a79309a17a0
143031adaa41a0
15162a69e1e8d0
hexb1ba22316d0

12213312231120 has 960 divisors, whose sum is σ = 52604561425920. Its totient is φ = 2279281213440.

The previous prime is 12213312231091. The next prime is 12213312231143. The reversal of 12213312231120 is 2113221331221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97715226 + ... + 97840134.

It is an arithmetic number, because the mean of its divisors is an integer number (54796418152).

Almost surely, 212213312231120 is an apocalyptic number.

12213312231120 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 12213312231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26302280712960).

12213312231120 is an abundant number, since it is smaller than the sum of its proper divisors (40391249194800).

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

12213312231120 is a wasteful number, since it uses less digits than its factorization.

12213312231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125004 (or 124987 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12213312231120 its reverse (2113221331221), we get a palindrome (14326533562341).

The spelling of 12213312231120 in words is "twelve trillion, two hundred thirteen billion, three hundred twelve million, two hundred thirty-one thousand, one hundred twenty".