1201434111144 has 128 divisors (see below), whose sum is σ = 3359998675200. Its totient is φ = 397762928640.

The previous prime is 1201434111133. The next prime is 1201434111193. The reversal of 1201434111144 is 4411114341021.

1201434111144 is a `hidden beast` number, since 1 + 201 + 4 + 3 + 411 + 1 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26282292 + ... + 26327964.

It is an arithmetic number, because the mean of its divisors is an integer number (26249989650).

Almost surely, 2^{1201434111144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201434111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679999337600).

1201434111144 is an abundant number, since it is smaller than the sum of its proper divisors (2158564564056).

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

1201434111144 is a wasteful number, since it uses less digits than its factorization.

1201434111144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46512 (or 46502 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1201434111144 its reverse (4411114341021), we get a palindrome (5612548452165).

The spelling of 1201434111144 in words is "one trillion, two hundred one billion, four hundred thirty-four million, one hundred eleven thousand, one hundred forty-four".