1121211000 has 576 divisors, whose sum is σ = 4793705280. Its totient is φ = 230169600.

The previous prime is 1121210983. The next prime is 1121211017. The reversal of 1121211000 is 1121211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121210983) and next prime (1121211017).

It is a super-2 number, since 2×1121211000² = 2514228213042000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30302982 + ... + 30303018.

It is an arithmetic number, because the mean of its divisors is an integer number (8322405).

Almost surely, 2^1121211000 is an apocalyptic number.

1121211000 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 1121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396852640).

1121211000 is an abundant number, since it is smaller than the sum of its proper divisors (3672494280).

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

1121211000 is a wasteful number, since it uses less digits than its factorization.

1121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1121211000 is about 33484.4889463764. The cubic root of 1121211000 is about 1038.8729778332.

Adding to 1121211000 its reverse (1121211), we get a palindrome (1122332211).

1121211000 divided by its reverse (1121211) gives a cube (1000 = 10³).

The spelling of 1121211000 in words is "one billion, one hundred twenty-one million, two hundred eleven thousand".