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121214002020 = 223513957725189
BaseRepresentation
bin111000011100011101…
…0101110001101100100
3102120212121112022012020
41300320322232031210
53441221241031040
6131403540423140
711520540005616
oct1607072561544
9376777468166
10121214002020
1147452164881
121b5aa3a7ab0
13b579871b67
145c1c67cdb6
153246859cd0
hex1c38eae364

121214002020 has 96 divisors (see below), whose sum is σ = 342446966400. Its totient is φ = 32034299904.

The previous prime is 121214002001. The next prime is 121214002027. The reversal of 121214002020 is 20200412121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (121214002027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4799586 + ... + 4824774.

It is an arithmetic number, because the mean of its divisors is an integer number (3567155900).

Almost surely, 2121214002020 is an apocalyptic number.

121214002020 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 121214002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171223483200).

121214002020 is an abundant number, since it is smaller than the sum of its proper divisors (221232964380).

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

121214002020 is a wasteful number, since it uses less digits than its factorization.

121214002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25917 (or 25915 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 121214002020 its reverse (20200412121), we get a palindrome (141414414141).

The spelling of 121214002020 in words is "one hundred twenty-one billion, two hundred fourteen million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 577 695 834 1154 1390 1668 1731 2085 2308 2780 2885 3462 4170 5770 6924 8340 8655 11540 17310 25189 34620 50378 75567 80203 100756 125945 151134 160406 240609 251890 302268 320812 377835 401015 481218 503780 755670 802030 962436 1203045 1511340 1604060 2406090 3501271 4812180 7002542 10503813 14005084 14534053 17506355 21007626 29068106 35012710 42015252 43602159 52519065 58136212 70025420 72670265 87204318 105038130 145340530 174408636 210076260 218010795 290681060 436021590 872043180 2020233367 4040466734 6060700101 8080933468 10101166835 12121400202 20202333670 24242800404 30303500505 40404667340 60607001010 121214002020