12215341501440 has 1408 divisors, whose sum is σ = 50488579915776. Its totient is φ = 2446295040000.

The previous prime is 12215341501417. The next prime is 12215341501483. The reversal of 12215341501440 is 4410514351221.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11622588915 + ... + 11622589965.

Almost surely, 2^{12215341501440} is an apocalyptic number.

12215341501440 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 12215341501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25244289957888).

12215341501440 is an abundant number, since it is smaller than the sum of its proper divisors (38273238414336).

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

12215341501440 is a wasteful number, since it uses less digits than its factorization.

12215341501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 12215341501440 its reverse (4410514351221), we get a palindrome (16625855852661).

The spelling of 12215341501440 in words is "twelve trillion, two hundred fifteen billion, three hundred forty-one million, five hundred one thousand, four hundred forty".