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12213210143040 = 2635331187720477
BaseRepresentation
bin1011000110111001110000…
…0011010101100101000000
31121020120102121120120210220
42301232130003111211000
53100100123244034130
641550400555223040
72400242506225044
oct261563403254500
947216377516726
1012213210143040
113989658800a95
121453003447a80
136a79157a973a
143031a02cc024
15162a60ea6410
hexb1b9c0d5940

12213210143040 has 224 divisors, whose sum is σ = 38916714916224. Its totient is φ = 3245128212480.

The previous prime is 12213210143011. The next prime is 12213210143053. The reversal of 12213210143040 is 4034101231221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12213210143040.

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 31 ways as a sum of consecutive naturals, for example, 596425282 + ... + 596445758.

Almost surely, 212213210143040 is an apocalyptic number.

12213210143040 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 12213210143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458357458112).

12213210143040 is an abundant number, since it is smaller than the sum of its proper divisors (26703504773184).

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

12213210143040 is a wasteful number, since it uses less digits than its factorization.

12213210143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22705 (or 22695 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12213210143040 its reverse (4034101231221), we get a palindrome (16247311374261).

The spelling of 12213210143040 in words is "twelve trillion, two hundred thirteen billion, two hundred ten million, one hundred forty-three thousand, forty".