121141020 has 192 divisors, whose sum is σ = 455648256. Its totient is φ = 23224320.

The previous prime is 121141003. The next prime is 121141037. The reversal of 121141020 is 20141121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121141003) and next prime (121141037).

It is a super-3 number, since 3×121141020³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121140987 and 121141005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59052 + ... + 61068.

It is an arithmetic number, because the mean of its divisors is an integer number (2373168).

Almost surely, 2^121141020 is an apocalyptic number.

121141020 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 121141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227824128).

121141020 is an abundant number, since it is smaller than the sum of its proper divisors (334507236).

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

121141020 is a wasteful number, since it uses less digits than its factorization.

121141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 121141020 is about 11006.4081334466. The cubic root of 121141020 is about 494.8008177297.

Adding to 121141020 its reverse (20141121), we get a palindrome (141282141).

It can be divided in two parts, 121 and 141020, that added together give a palindrome (141141).

The spelling of 121141020 in words is "one hundred twenty-one million, one hundred forty-one thousand, twenty".