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12111220000000 = 28571155051
BaseRepresentation
bin1011000000111101110011…
…1101110100010100000000
31120212211011202010111112201
42300033130331310110000
53041412234310000000
641431452340402544
72360002215300202
oct260173475642400
946784152114481
1012111220000000
11394a380a50a80
12143729b0a6454
1369b110894384
142dc286c1a772
151600921a496a
hexb03dcf74500

12111220000000 has 288 divisors, whose sum is σ = 32966601542784. Its totient is φ = 4404000000000.

The previous prime is 12111219999997. The next prime is 12111220000063. The reversal of 12111220000000 is 2211121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219972475 + ... + 220027525.

It is an arithmetic number, because the mean of its divisors is an integer number (114467366468).

Almost surely, 212111220000000 is an apocalyptic number.

12111220000000 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 12111220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483300771392).

12111220000000 is an abundant number, since it is smaller than the sum of its proper divisors (20855381542784).

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

12111220000000 is an frugal number, since it uses more digits than its factorization.

12111220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55113 (or 55069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12111220000000 its reverse (2211121), we get a palindrome (12111222211121).

The spelling of 12111220000000 in words is "twelve trillion, one hundred eleven billion, two hundred twenty million", and thus it is an aban number.