51120000 has 240 divisors, whose sum is σ = 186409080. Its totient is φ = 13440000.

The previous prime is 51119987. The next prime is 51120029. The reversal of 51120000 is 2115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51120000² = 5226508800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719965 + ... + 720035.

Almost surely, 2^51120000 is an apocalyptic number.

51120000 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 51120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93204540).

51120000 is an abundant number, since it is smaller than the sum of its proper divisors (135289080).

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

51120000 is an equidigital number, since it uses as much as digits as its factorization.

51120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 51120000 is about 7149.8251726878. The cubic root of 51120000 is about 371.1336063378.

Adding to 51120000 its reverse (2115), we get a palindrome (51122115).

The spelling of 51120000 in words is "fifty-one million, one hundred twenty thousand".