1461222000 has 240 divisors, whose sum is σ = 5833144512. Its totient is φ = 333964800.

The previous prime is 1461221989. The next prime is 1461222011. The reversal of 1461222000 is 2221641.

1461222000 is a `hidden beast` number, since 1 + 461 + 2 + 2 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1461221989) and next prime (1461222011).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120202 + ... + 131798.

Almost surely, 2^1461222000 is an apocalyptic number.

1461222000 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 1461222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916572256).

1461222000 is an abundant number, since it is smaller than the sum of its proper divisors (4371922512).

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

1461222000 is a wasteful number, since it uses less digits than its factorization.

1461222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11633 (or 11614 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1461222000 is about 38225.9336053418. The cubic root of 1461222000 is about 1134.7636113627.

Adding to 1461222000 its reverse (2221641), we get a palindrome (1463443641).

The spelling of 1461222000 in words is "one billion, four hundred sixty-one million, two hundred twenty-two thousand".