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12220032000000 = 213356112263
BaseRepresentation
bin1011000111010011001010…
…1010101010000000000000
31121021020001001002211021210
42301310302222222000000
53100203111143000000
641553445531250120
72400603533111616
oct261646252520000
947236031084253
1012220032000000
113991539541100
1214543a7ba9940
136a8461c0baa6
1430364a3156b6
15162d0ed32350
hexb1d32aaa000

12220032000000 has 1176 divisors, whose sum is σ = 44940041635104. Its totient is φ = 2951168000000.

The previous prime is 12220031999983. The next prime is 12220032000017. The reversal of 12220032000000 is 23002221.

It is an interprime number because it is at equal distance from previous prime (12220031999983) and next prime (12220032000017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12220032000000.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 46463999869 + ... + 46464000131.

Almost surely, 212220032000000 is an apocalyptic number.

12220032000000 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 12220032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22470020817552).

12220032000000 is an abundant number, since it is smaller than the sum of its proper divisors (32720009635104).

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

12220032000000 is an frugal number, since it uses more digits than its factorization.

12220032000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12220032000000 its reverse (23002221), we get a palindrome (12220055002221).

The spelling of 12220032000000 in words is "twelve trillion, two hundred twenty billion, thirty-two million", and thus it is an aban number.