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120220200000 = 26345541181
BaseRepresentation
bin110111111110110101…
…1101010110001000000
3102111022100111221010000
41233331223222301000
53432202332400000
6131121200040000
711454111560625
oct1577553526100
9374270457100
10120220200000
1146a9219469a
121b371603000
13b44b9c4b24
145b666a634c
1531d94a0000
hex1bfdaeac40

120220200000 has 840 divisors, whose sum is σ = 458819649288. Its totient is φ = 31104000000.

The previous prime is 120220199987. The next prime is 120220200019. The reversal of 120220200000 is 2022021.

It can be written as a sum of positive squares in 12 ways, for example, as 83650522176 + 36569677824 = 289224^2 + 191232^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 664199910 + ... + 664200090.

Almost surely, 2120220200000 is an apocalyptic number.

120220200000 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 120220200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229409824644).

120220200000 is an abundant number, since it is smaller than the sum of its proper divisors (338599449288).

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

120220200000 is an frugal number, since it uses more digits than its factorization.

120220200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 120220200000 its reverse (2022021), we get a palindrome (120222222021).

The spelling of 120220200000 in words is "one hundred twenty billion, two hundred twenty million, two hundred thousand".