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120211140000 = 253547793623
BaseRepresentation
bin110111111110100100…
…1000110110110100000
3102111021201110122010110
41233331021012312200
53432143022440000
6131120233531320
711453641554630
oct1577511066640
9374251418113
10120211140000
1146a88066796
121b36a573b40
13b449b72093
145b653c86c0
1531d87b0850
hex1bfd246da0

120211140000 has 480 divisors, whose sum is σ = 456477880320. Its totient is φ = 27121536000.

The previous prime is 120211139999. The next prime is 120211140017. The reversal of 120211140000 is 41112021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33178189 + ... + 33181811.

It is an arithmetic number, because the mean of its divisors is an integer number (950995584).

Almost surely, 2120211140000 is an apocalyptic number.

120211140000 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 120211140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228238940160).

120211140000 is an abundant number, since it is smaller than the sum of its proper divisors (336266740320).

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

120211140000 is an equidigital number, since it uses as much as digits as its factorization.

120211140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120211140000 its reverse (41112021), we get a palindrome (120252252021).

The spelling of 120211140000 in words is "one hundred twenty billion, two hundred eleven million, one hundred forty thousand".