1226109588480 has 1408 divisors, whose sum is σ = 5350251432960. Its totient is φ = 259900047360.

The previous prime is 1226109588469. The next prime is 1226109588493. The reversal of 1226109588480 is 848859016221.

1226109588480 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 10 + 9 + 588 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1200890370 + ... + 1200891390.

Almost surely, 2^{1226109588480} is an apocalyptic number.

1226109588480 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 1226109588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675125716480).

1226109588480 is an abundant number, since it is smaller than the sum of its proper divisors (4124141844480).

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

1226109588480 is a wasteful number, since it uses less digits than its factorization.

1226109588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 1226109588480 in words is "one trillion, two hundred twenty-six billion, one hundred nine million, five hundred eighty-eight thousand, four hundred eighty".