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12200021100 = 223252172337937
BaseRepresentation
bin10110101110010110…
…11000110001101100
31011111020111021201100
423113023120301230
5144441201133400
65334332443100
7611220316431
oct132713306154
934436437640
1012200021100
1151a0659473
122445919490
1311c57285c7
1483a407b88
154b60d1100
hex2d72d8c6c

12200021100 has 432 divisors, whose sum is σ = 43438344768. Its totient is φ = 2846638080.

The previous prime is 12200021051. The next prime is 12200021101. The reversal of 12200021100 is 112000221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12200021101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13019832 + ... + 13020768.

It is an arithmetic number, because the mean of its divisors is an integer number (100551724).

Almost surely, 212200021100 is an apocalyptic number.

12200021100 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 12200021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719172384).

12200021100 is an abundant number, since it is smaller than the sum of its proper divisors (31238323668).

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

12200021100 is a wasteful number, since it uses less digits than its factorization.

12200021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12200021100 its reverse (112000221), we get a palindrome (12312021321).

The spelling of 12200021100 in words is "twelve billion, two hundred million, twenty-one thousand, one hundred".