1211402320000 has 160 divisors (see below), whose sum is σ = 3193108675020. Its totient is φ = 456056832000.

The previous prime is 1211402319973. The next prime is 1211402320021. The reversal of 1211402320000 is 232041121.

It can be written as a sum of positive squares in 10 ways, for example, as 19759362624 + 1191642957376 = 140568^2 + 1091624^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×1211402320000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 914632 + ... + 1805368.

Almost surely, 2^{1211402320000} is an apocalyptic number.

1211402320000 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 1211402320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596554337510).

1211402320000 is an abundant number, since it is smaller than the sum of its proper divisors (1981706355020).

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

1211402320000 is an frugal number, since it uses more digits than its factorization.

1211402320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890788 (or 890761 counting only the distinct ones).

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

Adding to 1211402320000 its reverse (232041121), we get a palindrome (1211634361121).

The spelling of 1211402320000 in words is "one trillion, two hundred eleven billion, four hundred two million, three hundred twenty thousand".