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20120011011220 = 22523811016941549
BaseRepresentation
bin1001001001100100011100…
…00110111111010010010100
32122020110021011100112201011
410210302032012333102110
510114121240304324340
6110443001102342004
74144423425544651
oct444621606772224
978213234315634
1020120011011220
11645793776303a
12230b486b8a904
13b2c402855003
144d7b56c2cc28
1524d57acb40ea
hex124c8e1bf494

20120011011220 has 48 divisors (see below), whose sum is σ = 42274942794000. Its totient is φ = 8043639618560.

The previous prime is 20120011011179. The next prime is 20120011011223. The reversal of 20120011011220 is 2211011002102.

It can be written as a sum of positive squares in 8 ways, for example, as 4366954755076 + 15753056256144 = 2089726^2 + 3969012^2 .

It is a super-2 number, since 2×201200110112202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20120011011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120011011223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484227006 + ... + 484268554.

It is an arithmetic number, because the mean of its divisors is an integer number (880727974875).

Almost surely, 220120011011220 is an apocalyptic number.

20120011011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120011011220 is an abundant number, since it is smaller than the sum of its proper divisors (22154931782780).

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

20120011011220 is a wasteful number, since it uses less digits than its factorization.

20120011011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54108 (or 54106 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20120011011220 its reverse (2211011002102), we get a palindrome (22331022013322).

The spelling of 20120011011220 in words is "twenty trillion, one hundred twenty billion, eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2381 4762 9524 10169 11905 20338 23810 40676 41549 47620 50845 83098 101690 166196 203380 207745 415490 830980 24212389 48424778 96849556 98928169 121061945 197856338 242123890 395712676 422511781 484247780 494640845 845023562 989281690 1690047124 1978563380 2112558905 4225117810 8450235620 1006000550561 2012001101122 4024002202244 5030002752805 10060005505610 20120011011220