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12010350000 = 243551129251
BaseRepresentation
bin10110010111101111…
…10110010110110000
31011000000120222212210
423023313312112300
5144044122200000
65303435252120
7603425201445
oct131367662660
934000528783
1012010350000
1151035907a0
1223b22aa040
13119534979c
1481d1539cc
154a4617350
hex2cbdf65b0

12010350000 has 480 divisors, whose sum is σ = 43939687680. Its totient is φ = 2800000000.

The previous prime is 12010349993. The next prime is 12010350007. The reversal of 12010350000 is 5301021.

It is an interprime number because it is at equal distance from previous prime (12010349993) and next prime (12010350007).

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

It is not an unprimeable number, because it can be changed into a prime (12010350007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47849875 + ... + 47850125.

It is an arithmetic number, because the mean of its divisors is an integer number (91541016).

Almost surely, 212010350000 is an apocalyptic number.

12010350000 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 12010350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21969843840).

12010350000 is an abundant number, since it is smaller than the sum of its proper divisors (31929337680).

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

12010350000 is a wasteful number, since it uses less digits than its factorization.

12010350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

Adding to 12010350000 its reverse (5301021), we get a palindrome (12015651021).

The spelling of 12010350000 in words is "twelve billion, ten million, three hundred fifty thousand".