1221010114000 has 80 divisors (see below), whose sum is σ = 2956512199680. Its totient is φ = 487724188800.

The previous prime is 1221010113997. The next prime is 1221010114033. The reversal of 1221010114000 is 4110101221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1013449 + ... + 1862551.

It is an arithmetic number, because the mean of its divisors is an integer number (36956402496).

Almost surely, 2^{1221010114000} is an apocalyptic number.

1221010114000 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 1221010114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478256099840).

1221010114000 is an abundant number, since it is smaller than the sum of its proper divisors (1735502085680).

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

1221010114000 is an equidigital number, since it uses as much as digits as its factorization.

1221010114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849845 (or 849829 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1221010114000 its reverse (4110101221), we get a palindrome (1225120215221).

The spelling of 1221010114000 in words is "one trillion, two hundred twenty-one billion, ten million, one hundred fourteen thousand".