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121211210120 = 235711139113323
BaseRepresentation
bin111000011100011000…
…0000100100110001000
3102120212102021110102112
41300320300010212020
53441220032210440
6131403400521452
711520504200150
oct1607060044610
9376772243375
10121211210120
1147450628220
121b5a9480288
13b579105150
145c1c153760
1532464a7965
hex1c38c04988

121211210120 has 256 divisors, whose sum is σ = 366688788480. Its totient is φ = 34825190400.

The previous prime is 121211210117. The next prime is 121211210137. The reversal of 121211210120 is 21012112121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121211210095 and 121211210104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36474779 + ... + 36478101.

It is an arithmetic number, because the mean of its divisors is an integer number (1432378080).

Almost surely, 2121211210120 is an apocalyptic number.

121211210120 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 121211210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183344394240).

121211210120 is an abundant number, since it is smaller than the sum of its proper divisors (245477578360).

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

121211210120 is a wasteful number, since it uses less digits than its factorization.

121211210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121211210120 its reverse (21012112121), we get a palindrome (142223322241).

It can be divided in two parts, 1212112101 and 20, that added together give a palindrome (1212112121).

The spelling of 121211210120 in words is "one hundred twenty-one billion, two hundred eleven million, two hundred ten thousand, one hundred twenty".