1226001600 has 252 divisors, whose sum is σ = 4587864840. Its totient is φ = 309657600.

The previous prime is 1226001587. The next prime is 1226001617. The reversal of 1226001600 is 61006221.

It is a happy number.

1226001600 is a `hidden beast` number, since 1 + 2 + 2 + 60 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 271360 + ... + 275840.

Almost surely, 2^1226001600 is an apocalyptic number.

1226001600 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 1226001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293932420).

1226001600 is an abundant number, since it is smaller than the sum of its proper divisors (3361863240).

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

1226001600 is a wasteful number, since it uses less digits than its factorization.

1226001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1226001600 is about 35014.3056478349. The cubic root of 1226001600 is about 1070.2790200229.

Adding to 1226001600 its reverse (61006221), we get a palindrome (1287007821).

The spelling of 1226001600 in words is "one billion, two hundred twenty-six million, one thousand, six hundred".