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120042010000 = 2454114632357
BaseRepresentation
bin110111111001100001…
…1111011010110010000
3102110211221012221101101
41233303003323112100
53431321223310000
6131051352514144
711446516151353
oct1576303732620
9373757187341
10120042010000
1146a00648930
121b3219ab954
13b420b05a63
145b4ab6029a
1531c8a02e6a
hex1bf30fb590

120042010000 has 200 divisors, whose sum is σ = 317874547584. Its totient is φ = 43538880000.

The previous prime is 120042009973. The next prime is 120042010007. The reversal of 120042010000 is 10240021.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120042010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50928822 + ... + 50931178.

Almost surely, 2120042010000 is an apocalyptic number.

120042010000 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 120042010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158937273792).

120042010000 is an abundant number, since it is smaller than the sum of its proper divisors (197832537584).

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

120042010000 is a wasteful number, since it uses less digits than its factorization.

120042010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120042010000 its reverse (10240021), we get a palindrome (120052250021).

The spelling of 120042010000 in words is "one hundred twenty billion, forty-two million, ten thousand".