60112000 has 192 divisors, whose sum is σ = 170974440. Its totient is φ = 20889600.

The previous prime is 60111943. The next prime is 60112009. The reversal of 60112000 is 21106.

It can be written as a sum of positive squares in 12 ways, for example, as 760384 + 59351616 = 872^2 + 7704^2 .

It is a super-2 number, since 2×60112000² = 7226905088000000, which contains 22 as substring.

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 (60112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3535992 + ... + 3536008.

Almost surely, 2^60112000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85487220).

60112000 is an abundant number, since it is smaller than the sum of its proper divisors (110862440).

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

60112000 is a wasteful number, since it uses less digits than its factorization.

60112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 60112000 is about 7753.1928906741. The cubic root of 60112000 is about 391.7302044700.

Adding to 60112000 its reverse (21106), we get a palindrome (60133106).

The spelling of 60112000 in words is "sixty million, one hundred twelve thousand".