1402211121312 has 96 divisors (see below), whose sum is σ = 3901259303424. Its totient is φ = 439464960000.

The previous prime is 1402211121287. The next prime is 1402211121349. The reversal of 1402211121312 is 2131211122041.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183812 + ... + 2050812.

It is an arithmetic number, because the mean of its divisors is an integer number (40638117744).

Almost surely, 2^{1402211121312} is an apocalyptic number.

1402211121312 is a gapful number since it is divisible by the number (12) 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 1402211121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950629651712).

1402211121312 is an abundant number, since it is smaller than the sum of its proper divisors (2499048182112).

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

1402211121312 is a wasteful number, since it uses less digits than its factorization.

1402211121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868022 (or 868014 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1402211121312 its reverse (2131211122041), we get a palindrome (3533422243353).

The spelling of 1402211121312 in words is "one trillion, four hundred two billion, two hundred eleven million, one hundred twenty-one thousand, three hundred twelve".