1211139072 has 264 divisors, whose sum is σ = 4112996160. Its totient is φ = 338411520.

The previous prime is 1211139067. The next prime is 1211139077. The reversal of 1211139072 is 2709311121.

It is an interprime number because it is at equal distance from previous prime (1211139067) and next prime (1211139077).

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (1211139077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317429 + ... + 1318347.

Almost surely, 2^1211139072 is an apocalyptic number.

1211139072 is a gapful number since it is divisible by the number (12) 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 1211139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056498080).

1211139072 is an abundant number, since it is smaller than the sum of its proper divisors (2901857088).

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

1211139072 is a wasteful number, since it uses less digits than its factorization.

1211139072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1211139072 is about 34801.4234191649. The cubic root of 1211139072 is about 1065.9365114189.

The spelling of 1211139072 in words is "one billion, two hundred eleven million, one hundred thirty-nine thousand, seventy-two".