1225514016 has 192 divisors, whose sum is σ = 3764880000. Its totient is φ = 387265536.

The previous prime is 1225514011. The next prime is 1225514021. The reversal of 1225514016 is 6104155221.

1225514016 is a `hidden beast` number, since 1 + 2 + 255 + 1 + 401 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1225514011) and next prime (1225514021).

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

It is not an unprimeable number, because it can be changed into a prime (1225514011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1477890 + ... + 1478718.

It is an arithmetic number, because the mean of its divisors is an integer number (19608750).

Almost surely, 2^1225514016 is an apocalyptic number.

1225514016 is a gapful number since it is divisible by the number (16) 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 1225514016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882440000).

1225514016 is an abundant number, since it is smaller than the sum of its proper divisors (2539365984).

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

1225514016 is a wasteful number, since it uses less digits than its factorization.

1225514016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1225514016 is about 35007.3423155772. The cubic root of 1225514016 is about 1070.1371169668.

Adding to 1225514016 its reverse (6104155221), we get a palindrome (7329669237).

The spelling of 1225514016 in words is "one billion, two hundred twenty-five million, five hundred fourteen thousand, sixteen".