61001200 has 60 divisors (see below), whose sum is σ = 157842328. Its totient is φ = 22521600.

The previous prime is 61001183. The next prime is 61001203. The reversal of 61001200 is 210016.

It is a super-2 number, since 2×61001200² = 7442292802880000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61001203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 666 + ... + 11065.

Almost surely, 2^61001200 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 61001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78921164).

61001200 is an abundant number, since it is smaller than the sum of its proper divisors (96841128).

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

61001200 is a wasteful number, since it uses less digits than its factorization.

61001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11762 (or 11751 counting only the distinct ones).

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

The square root of 61001200 is about 7810.3264976568. The cubic root of 61001200 is about 393.6522996029.

Adding to 61001200 its reverse (210016), we get a palindrome (61211216).

The spelling of 61001200 in words is "sixty-one million, one thousand, two hundred".