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121011310420 = 2257211132413583
BaseRepresentation
bin111000010110011010…
…1100000111101010100
3102120100111010111120221
41300230311200331110
53440312343413140
6131331500204124
711512526111200
oct1605465407524
9376314114527
10121011310420
1147358803660
121b552539644
13b5468846c0
145bdd799b00
153233b6d14a
hex1c2cd60f54

121011310420 has 288 divisors, whose sum is σ = 348832382976. Its totient is φ = 34662297600.

The previous prime is 121011310417. The next prime is 121011310421. The reversal of 121011310420 is 24013110121.

It is a junction number, because it is equal to n+sod(n) for n = 121011310394 and 121011310403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121011310421) 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, 33771949 + ... + 33775531.

It is an arithmetic number, because the mean of its divisors is an integer number (1211223552).

Almost surely, 2121011310420 is an apocalyptic number.

121011310420 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 121011310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174416191488).

121011310420 is an abundant number, since it is smaller than the sum of its proper divisors (227821072556).

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

121011310420 is a wasteful number, since it uses less digits than its factorization.

121011310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 121011310420 its reverse (24013110121), we get a palindrome (145024420541).

The spelling of 121011310420 in words is "one hundred twenty-one billion, eleven million, three hundred ten thousand, four hundred twenty".