1211950080 has 352 divisors, whose sum is σ = 4704497280. Its totient is φ = 293437440.

The previous prime is 1211950079. The next prime is 1211950081. The reversal of 1211950080 is 800591121.

It is an interprime number because it is at equal distance from previous prime (1211950079) and next prime (1211950081).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1211950081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520242 + ... + 1521038.

Almost surely, 2^1211950080 is an apocalyptic number.

1211950080 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 1211950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352248640).

1211950080 is an abundant number, since it is smaller than the sum of its proper divisors (3492547200).

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

1211950080 is a wasteful number, since it uses less digits than its factorization.

1211950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1211950080 is about 34813.0734064087. The cubic root of 1211950080 is about 1066.1743839502.

The spelling of 1211950080 in words is "one billion, two hundred eleven million, nine hundred fifty thousand, eighty".