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12220110002100 = 2235271113374325577
BaseRepresentation
bin1011000111010011011101…
…0100001101011110110100
31121021020020110212202001110
42301310313110031132310
53100203241130031400
641553501355155020
72400605501114160
oct261646724153664
947236213782043
1012220110002100
113991579578250
12145440a145a70
136a847511c990
1430365681bca0
15162d16adde50
hexb1d3750d7b4

12220110002100 has 1152 divisors, whose sum is σ = 49890958774272. Its totient is φ = 2227444531200.

The previous prime is 12220110002069. The next prime is 12220110002101. The reversal of 12220110002100 is 120001102221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220110002101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 477764512 + ... + 477790088.

It is an arithmetic number, because the mean of its divisors is an integer number (43308123936).

Almost surely, 212220110002100 is an apocalyptic number.

12220110002100 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 12220110002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24945479387136).

12220110002100 is an abundant number, since it is smaller than the sum of its proper divisors (37670848772172).

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

12220110002100 is a wasteful number, since it uses less digits than its factorization.

12220110002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25705 (or 25698 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12220110002100 its reverse (120001102221), we get a palindrome (12340111104321).

The spelling of 12220110002100 in words is "twelve trillion, two hundred twenty billion, one hundred ten million, two thousand, one hundred".