121201012000 has 96 divisors (see below), whose sum is σ = 298279603440. Its totient is φ = 48400844800.

The previous prime is 121201011949. The next prime is 121201012003. The reversal of 121201012000 is 210102121.

It can be written as a sum of positive squares in 8 ways, for example, as 11822647824 + 109378364176 = 108732^2 + 330724^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121201012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2443446 + ... + 2492554.

Almost surely, 2^121201012000 is an apocalyptic number.

121201012000 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 121201012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149139801720).

121201012000 is an abundant number, since it is smaller than the sum of its proper divisors (177078591440).

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

121201012000 is an equidigital number, since it uses as much as digits as its factorization.

121201012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49751 (or 49733 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121201012000 its reverse (210102121), we get a palindrome (121411114121).

The spelling of 121201012000 in words is "one hundred twenty-one billion, two hundred one million, twelve thousand".