1201400135056 has 135 divisors (see below), whose sum is σ = 2652917183553. Its totient is φ = 526646440320.

The previous prime is 1201400135029. The next prime is 1201400135057. The reversal of 1201400135056 is 6505310041021.

The square root of 1201400135056 is 1096084.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 629985088656 + 571415046400 = 793716^2 + 755920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1201400135057) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1398602755 + ... + 1398603613.

Almost surely, 2^{1201400135056} is an apocalyptic number.

1201400135056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1201400135056 is the 1096084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201400135056

1201400135056 is an abundant number, since it is smaller than the sum of its proper divisors (1451517048497).

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

1201400135056 is an frugal number, since it uses more digits than its factorization.

1201400135056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 1201400135056 its reverse (6505310041021), we get a palindrome (7706710176077).

The spelling of 1201400135056 in words is "one trillion, two hundred one billion, four hundred million, one hundred thirty-five thousand, fifty-six".