121121210210220 has 288 divisors, whose sum is σ = 421914895234560. Its totient is φ = 27816058368000.

The previous prime is 121121210210191. The next prime is 121121210210249. The reversal of 121121210210220 is 22012012121121.

121121210210220 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 21 + 210 + 210 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (121121210210191) and next prime (121121210210249).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121121210210193 and 121121210210202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1029261985 + ... + 1029379655.

It is an arithmetic number, because the mean of its divisors is an integer number (1464982275120).

Almost surely, 2^{121121210210220} is an apocalyptic number.

121121210210220 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 121121210210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210957447617280).

121121210210220 is an abundant number, since it is smaller than the sum of its proper divisors (300793685024340).

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

121121210210220 is a wasteful number, since it uses less digits than its factorization.

121121210210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145077 (or 145072 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121121210210220 its reverse (22012012121121), we get a palindrome (143133222331341).

The spelling of 121121210210220 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred ten million, two hundred ten thousand, two hundred twenty".