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1201221220020 = 2235292069333667
BaseRepresentation
bin10001011110101110010…
…111010011011010110100
311020211120011122111220120
4101132232113103122310
5124140100113020040
62315500003331540
7152533244621163
oct21365627233264
94224504574816
101201221220020
11423487076838
1217497a680bb0
13893755cb9c3
14421d47bd3da
15213a70187d0
hex117ae5d36b4

1201221220020 has 96 divisors (see below), whose sum is σ = 3481091510400. Its totient is φ = 309129537024.

The previous prime is 1201221219839. The next prime is 1201221220027. The reversal of 1201221220020 is 200221221021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201221220027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3433227 + ... + 3766893.

It is an arithmetic number, because the mean of its divisors is an integer number (36261369900).

Almost surely, 21201221220020 is an apocalyptic number.

1201221220020 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 1201221220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740545755200).

1201221220020 is an abundant number, since it is smaller than the sum of its proper divisors (2279870290380).

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

1201221220020 is a wasteful number, since it uses less digits than its factorization.

1201221220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335777 (or 335775 counting only the distinct ones).

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

Adding to 1201221220020 its reverse (200221221021), we get a palindrome (1401442441041).

It can be divided in two parts, 1201221 and 220020, that added together give a palindrome (1421241).

The spelling of 1201221220020 in words is "one trillion, two hundred one billion, two hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 2069 4138 6207 8276 10345 12414 20690 24828 31035 41380 60001 62070 120002 124140 180003 240004 300005 333667 360006 600010 667334 720012 900015 1001001 1200020 1334668 1668335 1800030 2002002 3336670 3600060 4004004 5005005 6673340 9676343 10010010 19352686 20020020 29029029 38705372 48381715 58058058 96763430 116116116 145145145 193526860 290290290 580580580 690357023 1380714046 2071071069 2761428092 3451785115 4142142138 6903570230 8284284276 10355355345 13807140460 20020353667 20710710690 40040707334 41421421380 60061061001 80081414668 100101768335 120122122002 200203536670 240244244004 300305305005 400407073340 600610610010 1201221220020