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120220110000 = 2432546719937
BaseRepresentation
bin110111111110110101…
…1010100110010110000
3102111022100100100122200
41233331223110302300
53432202322010000
6131121154103200
711454111034344
oct1577553246260
9374270310580
10120220110000
1146a92133011
121b37157ab00
13b44b992b83
145b66681624
1531d9483500
hex1bfdad4cb0

120220110000 has 300 divisors, whose sum is σ = 426723523512. Its totient is φ = 31578624000.

The previous prime is 120220109963. The next prime is 120220110041. The reversal of 120220110000 is 11022021.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 6020032 + ... + 6039968.

Almost surely, 2120220110000 is an apocalyptic number.

120220110000 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 120220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213361761756).

120220110000 is an abundant number, since it is smaller than the sum of its proper divisors (306503413512).

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

120220110000 is a wasteful number, since it uses less digits than its factorization.

120220110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20038 (or 20014 counting only the distinct ones).

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

Adding to 120220110000 its reverse (11022021), we get a palindrome (120231132021).

It can be divided in two parts, 1202201 and 10000, that added together give a square (1212201 = 11012).

The spelling of 120220110000 in words is "one hundred twenty billion, two hundred twenty million, one hundred ten thousand".