1212013440 has 576 divisors, whose sum is σ = 4825154880. Its totient is φ = 279797760.

The previous prime is 1212013427. The next prime is 1212013483. The reversal of 1212013440 is 443102121.

1212013440 is a `hidden beast` number, since 1 + 21 + 201 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 25787497 + ... + 25787543.

It is an arithmetic number, because the mean of its divisors is an integer number (8377005).

Almost surely, 2^1212013440 is an apocalyptic number.

1212013440 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 1212013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412577440).

1212013440 is an abundant number, since it is smaller than the sum of its proper divisors (3613141440).

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

1212013440 is a wasteful number, since it uses less digits than its factorization.

1212013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1212013440 is about 34813.9833974798. The cubic root of 1212013440 is about 1066.1929632720.

Adding to 1212013440 its reverse (443102121), we get a palindrome (1655115561).

It can be divided in two parts, 121 and 2013440, that added together give a square (2013561 = 1419²).

The spelling of 1212013440 in words is "one billion, two hundred twelve million, thirteen thousand, four hundred forty".