121122021020 has 288 divisors, whose sum is σ = 348574980096. Its totient is φ = 34751808000.

The previous prime is 121122021011. The next prime is 121122021029. The reversal of 121122021020 is 20120221121.

It is an interprime number because it is at equal distance from previous prime (121122021011) and next prime (121122021029).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121122020986 and 121122021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122021029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62081045 + ... + 62082995.

It is an arithmetic number, because the mean of its divisors is an integer number (1210329792).

Almost surely, 2^121122021020 is an apocalyptic number.

121122021020 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 121122021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174287490048).

121122021020 is an abundant number, since it is smaller than the sum of its proper divisors (227452959076).

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

121122021020 is a wasteful number, since it uses less digits than its factorization.

121122021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121122021020 its reverse (20120221121), we get a palindrome (141242242141).

The spelling of 121122021020 in words is "one hundred twenty-one billion, one hundred twenty-two million, twenty-one thousand, twenty".