1201001312000 has 288 divisors, whose sum is σ = 3620394610560. Its totient is φ = 387548774400.

The previous prime is 1201001311943. The next prime is 1201001312009. The reversal of 1201001312000 is 2131001021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201001312009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3650306 + ... + 3965694.

It is an arithmetic number, because the mean of its divisors is an integer number (12570814620).

Almost surely, 2^{1201001312000} is an apocalyptic number.

1201001312000 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 1201001312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810197305280).

1201001312000 is an abundant number, since it is smaller than the sum of its proper divisors (2419393298560).

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

1201001312000 is an equidigital number, since it uses as much as digits as its factorization.

1201001312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315444 (or 315420 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1201001312000 its reverse (2131001021), we get a palindrome (1203132313021).

The spelling of 1201001312000 in words is "one trillion, two hundred one billion, one million, three hundred twelve thousand".