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12031221210100 = 2252294148696969
BaseRepresentation
bin1010111100010011110010…
…1010101001101111110100
31120121011200111021220111021
42233010330222221233310
53034104420112210400
641331022224550524
72351140606635451
oct257047452515764
946534614256437
1012031221210100
1139194597a1084
121423893782444
13693701a942c1
142d84582b8828
1515ce5dd7471a
hexaf13caa9bf4

12031221210100 has 36 divisors (see below), whose sum is σ = 27008017274700. Its totient is φ = 4646540604160.

The previous prime is 12031221210097. The next prime is 12031221210101. The reversal of 12031221210100 is 101212213021.

It can be written as a sum of positive squares in 6 ways, for example, as 2345345228304 + 9685875981796 = 1531452^2 + 3112214^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031221210101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2074345585 + ... + 2074351384.

It is an arithmetic number, because the mean of its divisors is an integer number (750222702075).

Almost surely, 212031221210100 is an apocalyptic number.

12031221210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031221210100 is an abundant number, since it is smaller than the sum of its proper divisors (14976796064600).

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

12031221210100 is a wasteful number, since it uses less digits than its factorization.

12031221210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148697012 (or 4148697005 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12031221210100 its reverse (101212213021), we get a palindrome (12132433423121).

The spelling of 12031221210100 in words is "twelve trillion, thirty-one billion, two hundred twenty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4148696969 8297393938 16594787876 20743484845 41486969690 82973939380 103717424225 120312212101 207434848450 240624424202 414869696900 481248848404 601561060505 1203122121010 2406244242020 3007805302525 6015610605050 12031221210100