61122340800 has 420 divisors, whose sum is σ = 230170122336. Its totient is φ = 15900364800.

The previous prime is 61122340777. The next prime is 61122340813. The reversal of 61122340800 is 804322116.

61122340800 is a `hidden beast` number, since 611 + 2 + 2 + 3 + 40 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5307849 + ... + 5319351.

Almost surely, 2^61122340800 is an apocalyptic number.

61122340800 is a gapful number since it is divisible by the number (60) 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 61122340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115085061168).

61122340800 is an abundant number, since it is smaller than the sum of its proper divisors (169047781536).

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

61122340800 is a wasteful number, since it uses less digits than its factorization.

61122340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11578 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 61122340800 its reverse (804322116), we get a palindrome (61926662916).

The spelling of 61122340800 in words is "sixty-one billion, one hundred twenty-two million, three hundred forty thousand, eight hundred".