1340122201000 has 128 divisors (see below), whose sum is σ = 3422252021760. Its totient is φ = 487134048000.

The previous prime is 1340122200997. The next prime is 1340122201003. The reversal of 1340122201000 is 1022210431.

It is an interprime number because it is at equal distance from previous prime (1340122200997) and next prime (1340122201003).

It is a super-2 number, since 2×1340122201000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1340122201003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31185529 + ... + 31228471.

It is an arithmetic number, because the mean of its divisors is an integer number (26736343920).

Almost surely, 2^{1340122201000} is an apocalyptic number.

1340122201000 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 1340122201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711126010880).

1340122201000 is an abundant number, since it is smaller than the sum of its proper divisors (2082129820760).

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

1340122201000 is a wasteful number, since it uses less digits than its factorization.

1340122201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45812 (or 45798 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1340122201000 its reverse (1022210431), we get a palindrome (1341144411431).

The spelling of 1340122201000 in words is "one trillion, three hundred forty billion, one hundred twenty-two million, two hundred one thousand".