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120010123200 = 263521121271627
BaseRepresentation
bin110111111000100101…
…0010010011111000000
3102110202201012220220210
41233301022102133000
53431240042420300
6131044253234120
711445651134052
oct1576112223700
9373681186823
10120010123200
1146994649900
121b313192940
13b417320026
145b4681d8d2
1531c5d05050
hex1bf12927c0

120010123200 has 504 divisors, whose sum is σ = 436456953856. Its totient is φ = 28846540800.

The previous prime is 120010123199. The next prime is 120010123201. The reversal of 120010123200 is 2321010021.

It is an interprime number because it is at equal distance from previous prime (120010123199) and next prime (120010123201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010123201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73760787 + ... + 73762413.

Almost surely, 2120010123200 is an apocalyptic number.

120010123200 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 120010123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218228476928).

120010123200 is an abundant number, since it is smaller than the sum of its proper divisors (316446830656).

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

120010123200 is a wasteful number, since it uses less digits than its factorization.

120010123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120010123200 its reverse (2321010021), we get a palindrome (122331133221).

The spelling of 120010123200 in words is "one hundred twenty billion, ten million, one hundred twenty-three thousand, two hundred".