1226249820 has 96 divisors (see below), whose sum is σ = 3824116800. Its totient is φ = 326218752.

The previous prime is 1226249813. The next prime is 1226249837. The reversal of 1226249820 is 289426221.

1226249820 is a `hidden beast` number, since 1 + 2 + 2 + 624 + 9 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244296 + ... + 249264.

It is an arithmetic number, because the mean of its divisors is an integer number (39834550).

Almost surely, 2^1226249820 is an apocalyptic number.

1226249820 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 1226249820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912058400).

1226249820 is an abundant number, since it is smaller than the sum of its proper divisors (2597866980).

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

1226249820 is a wasteful number, since it uses less digits than its factorization.

1226249820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1226249820 is about 35017.8500196685. The cubic root of 1226249820 is about 1070.3512457936.

The spelling of 1226249820 in words is "one billion, two hundred twenty-six million, two hundred forty-nine thousand, eight hundred twenty".