1211942016 has 96 divisors (see below), whose sum is σ = 3607847100. Its totient is φ = 390039552.

The previous prime is 1211942009. The next prime is 1211942023. The reversal of 1211942016 is 6102491121.

It is an interprime number because it is at equal distance from previous prime (1211942009) and next prime (1211942023).

It can be written as a sum of positive squares in 2 ways, for example, as 1169640000 + 42302016 = 34200^2 + 6504^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1211942016² = 2937606900292288512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15270 + ... + 51546.

Almost surely, 2^1211942016 is an apocalyptic number.

1211942016 is a gapful number since it is divisible by the number (16) 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 1211942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803923550).

1211942016 is an abundant number, since it is smaller than the sum of its proper divisors (2395905084).

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

1211942016 is a wasteful number, since it uses less digits than its factorization.

1211942016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36326 (or 36311 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1211942016 is about 34812.9575876569. The cubic root of 1211942016 is about 1066.1720192628.

The spelling of 1211942016 in words is "one billion, two hundred eleven million, nine hundred forty-two thousand, sixteen".