1213016640 has 448 divisors, whose sum is σ = 4621743360. Its totient is φ = 266076160.

The previous prime is 1213016633. The next prime is 1213016647. The reversal of 1213016640 is 466103121.

It is an interprime number because it is at equal distance from previous prime (1213016633) and next prime (1213016647).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1213016640.

It is not an unprimeable number, because it can be changed into a prime (1213016647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5205964 + ... + 5206196.

Almost surely, 2^1213016640 is an apocalyptic number.

1213016640 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 1213016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310871680).

1213016640 is an abundant number, since it is smaller than the sum of its proper divisors (3408726720).

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

1213016640 is a wasteful number, since it uses less digits than its factorization.

1213016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1213016640 is about 34828.3884209419. The cubic root of 1213016640 is about 1066.4870496169.

Adding to 1213016640 its reverse (466103121), we get a palindrome (1679119761).

The spelling of 1213016640 in words is "one billion, two hundred thirteen million, sixteen thousand, six hundred forty".