1222434000 has 240 divisors, whose sum is σ = 4314505104. Its totient is φ = 322560000.

The previous prime is 1222433941. The next prime is 1222434001. The reversal of 1222434000 is 4342221.

1222434000 is a `hidden beast` number, since 1 + 22 + 243 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 561121344 + 661312656 = 23688^2 + 25716^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222434001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2033700 + ... + 2034300.

Almost surely, 2^1222434000 is an apocalyptic number.

1222434000 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 1222434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157252552).

1222434000 is an abundant number, since it is smaller than the sum of its proper divisors (3092071104).

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

1222434000 is a wasteful number, since it uses less digits than its factorization.

1222434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1222434000 is about 34963.3236406381. The cubic root of 1222434000 is about 1069.2398595679.

Adding to 1222434000 its reverse (4342221), we get a palindrome (1226776221).

The spelling of 1222434000 in words is "one billion, two hundred twenty-two million, four hundred thirty-four thousand".