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121301200020 = 2235711132433613
BaseRepresentation
bin111000011111000011…
…1010110110010010100
3102121002200121102100210
41300332013112302110
53441411101400040
6131420333405420
711522646121320
oct1607607266224
9377080542323
10121301200020
1147497401a40
121b613639870
13b591952600
145c2a09a980
15324e331480
hex1c3e1d6c94

121301200020 has 576 divisors, whose sum is σ = 469323638784. Its totient is φ = 22719191040.

The previous prime is 121301199979. The next prime is 121301200039. The reversal of 121301200020 is 20002103121.

It is a super-2 number, since 2×1213012000202 (a number of 23 digits) contains 22 as substring.

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 = 121301199969 and 121301200005.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 33571734 + ... + 33575346.

It is an arithmetic number, because the mean of its divisors is an integer number (814797984).

Almost surely, 2121301200020 is an apocalyptic number.

121301200020 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 121301200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234661819392).

121301200020 is an abundant number, since it is smaller than the sum of its proper divisors (348022438764).

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

121301200020 is a wasteful number, since it uses less digits than its factorization.

121301200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 121301200020 its reverse (20002103121), we get a palindrome (141303303141).

The spelling of 121301200020 in words is "one hundred twenty-one billion, three hundred one million, two hundred thousand, twenty".