1225164000 has 288 divisors, whose sum is σ = 4217469984. Its totient is φ = 310886400.

The previous prime is 1225163987. The next prime is 1225164049. The reversal of 1225164000 is 4615221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6347904 + ... + 6348096.

It is an arithmetic number, because the mean of its divisors is an integer number (14643993).

Almost surely, 2^1225164000 is an apocalyptic number.

1225164000 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 1225164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108734992).

1225164000 is an abundant number, since it is smaller than the sum of its proper divisors (2992305984).

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

1225164000 is a wasteful number, since it uses less digits than its factorization.

1225164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1225164000 is about 35002.3427787341. The cubic root of 1225164000 is about 1070.0352275356.

Adding to 1225164000 its reverse (4615221), we get a palindrome (1229779221).

The spelling of 1225164000 in words is "one billion, two hundred twenty-five million, one hundred sixty-four thousand".