1226135520 has 144 divisors (see below), whose sum is σ = 4366226592. Its totient is φ = 312744960.

The previous prime is 1226135509. The next prime is 1226135551. The reversal of 1226135520 is 255316221.

It is a happy number.

1226135520 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 135 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14610 + ... + 51630.

It is an arithmetic number, because the mean of its divisors is an integer number (30321018).

Almost surely, 2^1226135520 is an apocalyptic number.

1226135520 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 1226135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183113296).

1226135520 is an abundant number, since it is smaller than the sum of its proper divisors (3140091072).

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

1226135520 is a wasteful number, since it uses less digits than its factorization.

1226135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37065 (or 37054 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1226135520 is about 35016.2179568268. The cubic root of 1226135520 is about 1070.3179885822.

The spelling of 1226135520 in words is "one billion, two hundred twenty-six million, one hundred thirty-five thousand, five hundred twenty".