1201542144 has 264 divisors, whose sum is σ = 3707591904. Its totient is φ = 342835200.

The previous prime is 1201542127. The next prime is 1201542191. The reversal of 1201542144 is 4412451021.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32474094 + ... + 32474130.

Almost surely, 2^1201542144 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 1201542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853795952).

1201542144 is an abundant number, since it is smaller than the sum of its proper divisors (2506049760).

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

1201542144 is a wasteful number, since it uses less digits than its factorization.

1201542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1201542144 is about 34663.2679359578. The cubic root of 1201542144 is about 1063.1135889134.

Adding to 1201542144 its reverse (4412451021), we get a palindrome (5613993165).

It can be divided in two parts, 1201 and 542144, that added together give a palindrome (543345).

The spelling of 1201542144 in words is "one billion, two hundred one million, five hundred forty-two thousand, one hundred forty-four".