1214001541152 has 144 divisors (see below), whose sum is σ = 3463921843200. Its totient is φ = 403308864000.

The previous prime is 1214001541133. The next prime is 1214001541187. The reversal of 1214001541152 is 2511451004121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1214001541152² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139552099 + ... + 139560797.

It is an arithmetic number, because the mean of its divisors is an integer number (24055012800).

Almost surely, 2^{1214001541152} is an apocalyptic number.

1214001541152 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 1214001541152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731960921600).

1214001541152 is an abundant number, since it is smaller than the sum of its proper divisors (2249920302048).

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

1214001541152 is a wasteful number, since it uses less digits than its factorization.

1214001541152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 1214001541152 its reverse (2511451004121), we get a palindrome (3725452545273).

The spelling of 1214001541152 in words is "one trillion, two hundred fourteen billion, one million, five hundred forty-one thousand, one hundred fifty-two".