51223312031200 has 288 divisors, whose sum is σ = 126838601809920. Its totient is φ = 20198539468800.

The previous prime is 51223312031189. The next prime is 51223312031207. The reversal of 51223312031200 is 213021332215.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51223312031207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12316254721 + ... + 12316258879.

It is an arithmetic number, because the mean of its divisors is an integer number (440411811840).

Almost surely, 2^{51223312031200} is an apocalyptic number.

51223312031200 is a gapful number since it is divisible by the number (50) 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 51223312031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63419300904960).

51223312031200 is an abundant number, since it is smaller than the sum of its proper divisors (75615289778720).

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

51223312031200 is a wasteful number, since it uses less digits than its factorization.

51223312031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 51223312031200 its reverse (213021332215), we get a palindrome (51436333363415).

The spelling of 51223312031200 in words is "fifty-one trillion, two hundred twenty-three billion, three hundred twelve million, thirty-one thousand, two hundred".