1226610288000 has 384 divisors, whose sum is σ = 4408266844800. Its totient is φ = 326858342400.

The previous prime is 1226610287999. The next prime is 1226610288019. The reversal of 1226610288000 is 8820166221.

1226610288000 is a `hidden beast` number, since 12 + 2 + 6 + 610 + 28 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 297069936 + ... + 297074064.

It is an arithmetic number, because the mean of its divisors is an integer number (11479861575).

Almost surely, 2^{1226610288000} is an apocalyptic number.

1226610288000 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 1226610288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204133422400).

1226610288000 is an abundant number, since it is smaller than the sum of its proper divisors (3181656556800).

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

1226610288000 is a wasteful number, since it uses less digits than its factorization.

1226610288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6227 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1226610288000 in words is "one trillion, two hundred twenty-six billion, six hundred ten million, two hundred eighty-eight thousand".