121000122211020 has 384 divisors, whose sum is σ = 383655267072000. Its totient is φ = 28324596427776.

The previous prime is 121000122210977. The next prime is 121000122211037. The reversal of 121000122211020 is 20112221000121.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1641778131 + ... + 1641851829.

It is an arithmetic number, because the mean of its divisors is an integer number (999102258000).

Almost surely, 2^{121000122211020} is an apocalyptic number.

121000122211020 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 121000122211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191827633536000).

121000122211020 is an abundant number, since it is smaller than the sum of its proper divisors (262655144860980).

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

121000122211020 is a wasteful number, since it uses less digits than its factorization.

121000122211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73966 (or 73918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121000122211020 its reverse (20112221000121), we get a palindrome (141112343211141).

The spelling of 121000122211020 in words is "one hundred twenty-one trillion, one hundred twenty-two million, two hundred eleven thousand, twenty".