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12220222210000 = 24547319187513
BaseRepresentation
bin1011000111010011111000…
…0000001111111111010000
31121021020112022000111100121
42301310332000033333100
53100204003341210000
641553520444200024
72400611332633000
oct261647600177720
947236468014317
1012220222210000
113991626947752
12145443b839014
136a8492448c9c
143036676aa000
15162d218a5b1a
hexb1d3e00ffd0

12220222210000 has 400 divisors, whose sum is σ = 36319211632000. Its totient is φ = 3969254016000.

The previous prime is 12220222209997. The next prime is 12220222210037. The reversal of 12220222210000 is 1222202221.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 79 ways as a sum of consecutive naturals, for example, 65076244 + ... + 65263756.

It is an arithmetic number, because the mean of its divisors is an integer number (90798029080).

Almost surely, 212220222210000 is an apocalyptic number.

12220222210000 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 12220222210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18159605816000).

12220222210000 is an abundant number, since it is smaller than the sum of its proper divisors (24098989422000).

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

12220222210000 is an equidigital number, since it uses as much as digits as its factorization.

12220222210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187581 (or 187546 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12220222210000 its reverse (1222202221), we get a palindrome (12221444412221).

The spelling of 12220222210000 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-two million, two hundred ten thousand".