1321215000140 has 96 divisors (see below), whose sum is σ = 3359536871040. Its totient is φ = 426075439104.

The previous prime is 1321215000037. The next prime is 1321215000167. The reversal of 1321215000140 is 410005121231.

It is a super-3 number, since 3×1321215000140³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3656912 + ... + 4001928.

It is an arithmetic number, because the mean of its divisors is an integer number (34995175740).

Almost surely, 2^{1321215000140} is an apocalyptic number.

1321215000140 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 1321215000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679768435520).

1321215000140 is an abundant number, since it is smaller than the sum of its proper divisors (2038321870900).

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

1321215000140 is a wasteful number, since it uses less digits than its factorization.

1321215000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346659 (or 346657 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 1321215000140 in words is "one trillion, three hundred twenty-one billion, two hundred fifteen million, one hundred forty", and thus it is an aban number.