1211490720 has 432 divisors, whose sum is σ = 4823287560. Its totient is φ = 275742720.

The previous prime is 1211490691. The next prime is 1211490743. The reversal of 1211490720 is 270941121.

It can be written as a sum of positive squares in 4 ways, for example, as 1205200656 + 6290064 = 34716^2 + 2508^2 .

It is a super-2 number, since 2×1211490720² = 2935419529292236800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2961876 + ... + 2962284.

Almost surely, 2^1211490720 is an apocalyptic number.

1211490720 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 1211490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411643780).

1211490720 is an abundant number, since it is smaller than the sum of its proper divisors (3611796840).

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

1211490720 is a wasteful number, since it uses less digits than its factorization.

1211490720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1211490720 is about 34806.4752596410. The cubic root of 1211490720 is about 1066.0396644973.

It can be divided in two parts, 121 and 1490720, that added together give a square (1490841 = 1221²).

The spelling of 1211490720 in words is "one billion, two hundred eleven million, four hundred ninety thousand, seven hundred twenty".