1210006248000 has 896 divisors, whose sum is σ = 4463074916352. Its totient is φ = 286387200000.

The previous prime is 1210006247971. The next prime is 1210006248067. The reversal of 1210006248000 is 8426000121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3655607835 + ... + 3655608165.

Almost surely, 2^{1210006248000} is an apocalyptic number.

1210006248000 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 1210006248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231537458176).

1210006248000 is an abundant number, since it is smaller than the sum of its proper divisors (3253068668352).

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

1210006248000 is a wasteful number, since it uses less digits than its factorization.

1210006248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 1210006248000 in words is "one trillion, two hundred ten billion, six million, two hundred forty-eight thousand".