1451312120 has 64 divisors (see below), whose sum is σ = 3384944640. Its totient is φ = 559440000.

The previous prime is 1451312101. The next prime is 1451312123. The reversal of 1451312120 is 212131541.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1451312092 and 1451312101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451312123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308909 + ... + 313571.

It is an arithmetic number, because the mean of its divisors is an integer number (52889760).

Almost surely, 2^1451312120 is an apocalyptic number.

1451312120 is a gapful number since it is divisible by the number (10) 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 1451312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692472320).

1451312120 is an abundant number, since it is smaller than the sum of its proper divisors (1933632520).

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

1451312120 is a wasteful number, since it uses less digits than its factorization.

1451312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1451312120 is about 38096.0906130800. The cubic root of 1451312120 is about 1132.1925009855.

Adding to 1451312120 its reverse (212131541), we get a palindrome (1663443661).

The spelling of 1451312120 in words is "one billion, four hundred fifty-one million, three hundred twelve thousand, one hundred twenty".