121320000021000 has 512 divisors, whose sum is σ = 434739430195200. Its totient is φ = 27858021120000.

The previous prime is 121320000020941. The next prime is 121320000021013. The reversal of 121320000021000 is 120000023121.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4453567380 + ... + 4453594620.

It is an arithmetic number, because the mean of its divisors is an integer number (849100449600).

Almost surely, 2^{121320000021000} is an apocalyptic number.

121320000021000 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 121320000021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217369715097600).

121320000021000 is an abundant number, since it is smaller than the sum of its proper divisors (313419430174200).

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

121320000021000 is a wasteful number, since it uses less digits than its factorization.

121320000021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34398 (or 34384 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 121320000021000 its reverse (120000023121), we get a palindrome (121440000044121).

The spelling of 121320000021000 in words is "one hundred twenty-one trillion, three hundred twenty billion, twenty-one thousand".