1201245357312 has 432 divisors, whose sum is σ = 4650284515968. Its totient is φ = 288010321920.

The previous prime is 1201245357311. The next prime is 1201245357407. The reversal of 1201245357312 is 2137535421021.

1201245357312 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 24 + 53 + 573 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201245357311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2045878 + ... + 2566730.

Almost surely, 2^{1201245357312} is an apocalyptic number.

1201245357312 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 1201245357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325142257984).

1201245357312 is an abundant number, since it is smaller than the sum of its proper divisors (3449039158656).

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

1201245357312 is a wasteful number, since it uses less digits than its factorization.

1201245357312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520906 (or 520889 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1201245357312 in words is "one trillion, two hundred one billion, two hundred forty-five million, three hundred fifty-seven thousand, three hundred twelve".