1213501245440 has 192 divisors, whose sum is σ = 3228481488960. Its totient is φ = 434036736000.

The previous prime is 1213501245433. The next prime is 1213501245443. The reversal of 1213501245440 is 445421053121.

It is a super-2 number, since 2×1213501245440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1213501245397 and 1213501245406.

It is not an unprimeable number, because it can be changed into a prime (1213501245443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6782735 + ... + 6959345.

It is an arithmetic number, because the mean of its divisors is an integer number (16815007755).

Almost surely, 2^{1213501245440} is an apocalyptic number.

1213501245440 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 1213501245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614240744480).

1213501245440 is an abundant number, since it is smaller than the sum of its proper divisors (2014980243520).

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

1213501245440 is a wasteful number, since it uses less digits than its factorization.

1213501245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176710 (or 176690 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 1213501245440 its reverse (445421053121), we get a palindrome (1658922298561).

The spelling of 1213501245440 in words is "one trillion, two hundred thirteen billion, five hundred one million, two hundred forty-five thousand, four hundred forty".