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120101120000 = 21154101929
BaseRepresentation
bin110111111011010010…
…1011010100000000000
3102111000001110001001122
41233312211122200000
53431431341320000
6131101303451412
711451134450621
oct1576645324000
9374001401048
10120101120000
1146a30a51074
121b339756b68
13b4301308a4
145b54949a48
1531cdccc085
hex1bf695a800

120101120000 has 240 divisors, whose sum is σ = 303380777700. Its totient is φ = 47513600000.

The previous prime is 120101119997. The next prime is 120101120011. The reversal of 120101120000 is 21101021.

It can be written as a sum of positive squares in 10 ways, for example, as 11443864576 + 108657255424 = 106976^2 + 329632^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 120101120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129279536 + ... + 129280464.

Almost surely, 2120101120000 is an apocalyptic number.

120101120000 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 120101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151690388850).

120101120000 is an abundant number, since it is smaller than the sum of its proper divisors (183279657700).

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

120101120000 is an frugal number, since it uses more digits than its factorization.

120101120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120101120000 its reverse (21101021), we get a palindrome (120122221021).

The spelling of 120101120000 in words is "one hundred twenty billion, one hundred one million, one hundred twenty thousand".