1126225166220 has 576 divisors, whose sum is σ = 4312004336640. Its totient is φ = 231130368000.

The previous prime is 1126225166203. The next prime is 1126225166237. The reversal of 1126225166220 is 226615226211.

1126225166220 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 2 + 25 + 1 + 6 + 622 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1126225166203) and next prime (1126225166237).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 788120466 + ... + 788121894.

It is an arithmetic number, because the mean of its divisors is an integer number (7486118640).

Almost surely, 2^{1126225166220} is an apocalyptic number.

1126225166220 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 1126225166220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156002168320).

1126225166220 is an abundant number, since it is smaller than the sum of its proper divisors (3185779170420).

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

1126225166220 is a wasteful number, since it uses less digits than its factorization.

1126225166220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1126225166220 in words is "one trillion, one hundred twenty-six billion, two hundred twenty-five million, one hundred sixty-six thousand, two hundred twenty".