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121124014220 = 225114389293491
BaseRepresentation
bin111000011001110001…
…1011100100010001100
3102120122100012110010202
41300303203130202030
53441030221423340
6131351003553032
711515365063536
oct1606343344214
9376570173122
10121124014220
11474063916a0
121b58422b778
13b564025641
145c10736856
15323d9d1c15
hex1c338dc88c

121124014220 has 192 divisors, whose sum is σ = 288694264320. Its totient is φ = 42305894400.

The previous prime is 121124014211. The next prime is 121124014229. The reversal of 121124014220 is 22410421121.

It is an interprime number because it is at equal distance from previous prime (121124014211) and next prime (121124014229).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121124014192 and 121124014201.

It is not an unprimeable number, because it can be changed into a prime (121124014229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246688175 + ... + 246688665.

It is an arithmetic number, because the mean of its divisors is an integer number (1503615960).

Almost surely, 2121124014220 is an apocalyptic number.

121124014220 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 121124014220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144347132160).

121124014220 is an abundant number, since it is smaller than the sum of its proper divisors (167570250100).

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

121124014220 is a wasteful number, since it uses less digits than its factorization.

121124014220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 121124014220 its reverse (22410421121), we get a palindrome (143534435341).

The spelling of 121124014220 in words is "one hundred twenty-one billion, one hundred twenty-four million, fourteen thousand, two hundred twenty".