1211451415000 has 160 divisors (see below), whose sum is σ = 2865040081200. Its totient is φ = 480058880000.

The previous prime is 1211451414961. The next prime is 1211451415039. The reversal of 1211451415000 is 5141541121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1211451414961) and next prime (1211451415039).

It is a super-3 number, since 3×1211451415000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 251492592 + ... + 251497408.

Almost surely, 2^{1211451415000} is an apocalyptic number.

1211451415000 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 1211451415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432520040600).

1211451415000 is an abundant number, since it is smaller than the sum of its proper divisors (1653588666200).

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

1211451415000 is a wasteful number, since it uses less digits than its factorization.

1211451415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Adding to 1211451415000 its reverse (5141541121), we get a palindrome (1216592956121).

The spelling of 1211451415000 in words is "one trillion, two hundred eleven billion, four hundred fifty-one million, four hundred fifteen thousand".