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121211001120 = 253511127717977
BaseRepresentation
bin111000011100010111…
…1010001100100100000
3102120212101212211201210
41300320233101210200
53441220004013440
6131403352230120
711520502336626
oct1607057214440
9376771784653
10121211001120
11474504a51a0
121b5a939b340
13b579060c91
145c1c0db516
153246465a80
hex1c38bd1920

121211001120 has 192 divisors, whose sum is σ = 416874439296. Its totient is φ = 29359841280.

The previous prime is 121211001091. The next prime is 121211001133. The reversal of 121211001120 is 21100112121.

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 = 121211001096 and 121211001105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6733572 + ... + 6751548.

It is an arithmetic number, because the mean of its divisors is an integer number (2171221038).

Almost surely, 2121211001120 is an apocalyptic number.

121211001120 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 121211001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208437219648).

121211001120 is an abundant number, since it is smaller than the sum of its proper divisors (295663438176).

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

121211001120 is a wasteful number, since it uses less digits than its factorization.

121211001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19283 (or 19275 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121211001120 its reverse (21100112121), we get a palindrome (142311113241).

The spelling of 121211001120 in words is "one hundred twenty-one billion, two hundred eleven million, one thousand, one hundred twenty".