1201295523840 has 272 divisors, whose sum is σ = 3916816712928. Its totient is φ = 314287587328.

The previous prime is 1201295523833. The next prime is 1201295523859. The reversal of 1201295523840 is 483255921021.

It is a super-2 number, since 2×1201295523840² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1201295523792 and 1201295523801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52089592 + ... + 52112648.

Almost surely, 2^{1201295523840} is an apocalyptic number.

1201295523840 is a gapful number since it is divisible by the number (10) 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 1201295523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958408356464).

1201295523840 is an abundant number, since it is smaller than the sum of its proper divisors (2715521189088).

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

1201295523840 is an frugal number, since it uses more digits than its factorization.

1201295523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23150 (or 23120 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 1201295523840 in words is "one trillion, two hundred one billion, two hundred ninety-five million, five hundred twenty-three thousand, eight hundred forty".