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121141040020 = 2257112132323917
BaseRepresentation
bin111000011010010010…
…0011001001110010100
3102120200112020110010221
41300310210121032110
53441044101240040
6131352412524124
711515662564460
oct1606444311624
9376615213127
10121141040020
1147414a60400
121b589a80644
13b567707090
145c12ac94a0
15324024674a
hex1c34919394

121141040020 has 288 divisors, whose sum is σ = 359132788224. Its totient is φ = 33336990720.

The previous prime is 121141039991. The next prime is 121141040021. The reversal of 121141040020 is 20040141121.

It is a happy number.

It is a super-3 number, since 3×1211410400203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121141039976 and 121141040003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121141040021) 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, 5053102 + ... + 5077018.

It is an arithmetic number, because the mean of its divisors is an integer number (1246988848).

Almost surely, 2121141040020 is an apocalyptic number.

121141040020 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 121141040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179566394112).

121141040020 is an abundant number, since it is smaller than the sum of its proper divisors (237991748204).

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

121141040020 is a wasteful number, since it uses less digits than its factorization.

121141040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23991 (or 23978 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121141040020 its reverse (20040141121), we get a palindrome (141181181141).

It can be divided in two parts, 121 and 141040020, that added together give a palindrome (141040141).

The spelling of 121141040020 in words is "one hundred twenty-one billion, one hundred forty-one million, forty thousand, twenty".