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121111310320 = 24571131329431
BaseRepresentation
bin111000011001011001…
…0111110111111110000
3102120121110022000122221
41300302302332333300
53441013443412240
6131345431410424
711515152103120
oct1606262767760
9376543260587
10121111310320
11473aa1a5000
121b57bb23a14
13b5614c8140
145c0cb8ac80
15323c822a4a
hex1c32cbeff0

121111310320 has 640 divisors, whose sum is σ = 395254702080. Its totient is φ = 33565593600.

The previous prime is 121111310317. The next prime is 121111310323. The reversal of 121111310320 is 23013111121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121111310317) and next prime (121111310323).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121111310294 and 121111310303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111310323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 281000505 + ... + 281000935.

It is an arithmetic number, because the mean of its divisors is an integer number (617585472).

Almost surely, 2121111310320 is an apocalyptic number.

121111310320 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 121111310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197627351040).

121111310320 is an abundant number, since it is smaller than the sum of its proper divisors (274143391760).

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

121111310320 is a wasteful number, since it uses less digits than its factorization.

121111310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 121111310320 its reverse (23013111121), we get a palindrome (144124421441).

The spelling of 121111310320 in words is "one hundred twenty-one billion, one hundred eleven million, three hundred ten thousand, three hundred twenty".