1501211040000 has 1080 divisors, whose sum is σ = 5885410940640. Its totient is φ = 338558976000.

The previous prime is 1501211039969. The next prime is 1501211040013. The reversal of 1501211040000 is 401121051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1952159616 + ... + 1952160384.

Almost surely, 2^{1501211040000} is an apocalyptic number.

1501211040000 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 1501211040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942705470320).

1501211040000 is an abundant number, since it is smaller than the sum of its proper divisors (4384199900640).

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

1501211040000 is an frugal number, since it uses more digits than its factorization.

1501211040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 1501211040000 its reverse (401121051), we get a palindrome (1501612161051).

The spelling of 1501211040000 in words is "one trillion, five hundred one billion, two hundred eleven million, forty thousand".