61012000 has 96 divisors (see below), whose sum is σ = 171400320. Its totient is φ = 20908800.

The previous prime is 61011989. The next prime is 61012033. The reversal of 61012000 is 21016.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26911 + ... + 29089.

It is an arithmetic number, because the mean of its divisors is an integer number (1785420).

Almost surely, 2^61012000 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 61012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85700160).

61012000 is an abundant number, since it is smaller than the sum of its proper divisors (110388320).

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

61012000 is a wasteful number, since it uses less digits than its factorization.

61012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2193 counting only the distinct ones).

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

The square root of 61012000 is about 7811.0178594086. The cubic root of 61012000 is about 393.6755297140.

Adding to 61012000 its reverse (21016), we get a palindrome (61033016).

The spelling of 61012000 in words is "sixty-one million, twelve thousand".