121210020000 has 300 divisors, whose sum is σ = 445457490786. Its totient is φ = 32322240000.

The previous prime is 121210019963. The next prime is 121210020007. The reversal of 121210020000 is 20012121.

It can be written as a sum of positive squares in 5 ways, for example, as 848207376 + 120361812624 = 29124^2 + 346932^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121210020007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1582590 + ... + 1657410.

Almost surely, 2^121210020000 is an apocalyptic number.

121210020000 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 121210020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222728745393).

121210020000 is an abundant number, since it is smaller than the sum of its proper divisors (324247470786).

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

121210020000 is an frugal number, since it uses more digits than its factorization.

121210020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74863 (or 74831 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121210020000 its reverse (20012121), we get a palindrome (121230032121).

It can be divided in two parts, 1212100 and 20000, that added together give a square (1232100 = 1110²).

The spelling of 121210020000 in words is "one hundred twenty-one billion, two hundred ten million, twenty thousand".