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120220012100 = 22529413127717
BaseRepresentation
bin110111111110110101…
…0111100111001000100
3102111022100011101100202
41233331222330321010
53432202310341400
6131121152030032
711454110146046
oct1577552747104
9374270141322
10120220012100
1146a92076501
121b371532318
13b44b95a446
145b66657a96
1531d94644d5
hex1bfdabce44

120220012100 has 36 divisors (see below), whose sum is σ = 260907183684. Its totient is φ = 48082519680.

The previous prime is 120220012069. The next prime is 120220012109. The reversal of 120220012100 is 1210022021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26163709504 + 94056302596 = 161752^2 + 306686^2 .

It is not an unprimeable number, because it can be changed into a prime (120220012109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 877442 + ... + 1005158.

It is an arithmetic number, because the mean of its divisors is an integer number (7247421769).

Almost surely, 2120220012100 is an apocalyptic number.

120220012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120220012100 is an abundant number, since it is smaller than the sum of its proper divisors (140687171584).

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

120220012100 is a wasteful number, since it uses less digits than its factorization.

120220012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137144 (or 137137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120220012100 its reverse (1210022021), we get a palindrome (121430034121).

The spelling of 120220012100 in words is "one hundred twenty billion, two hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 9413 18826 37652 47065 94130 127717 188260 235325 255434 470650 510868 638585 941300 1277170 2554340 3192925 6385850 12771700 1202200121 2404400242 4808800484 6011000605 12022001210 24044002420 30055003025 60110006050 120220012100