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20120212322240 = 265731316574889
BaseRepresentation
bin1001001001100100110100…
…00110111011011111000000
32122020110210012011012111212
410210302122012323133000
510114122143323302430
6110443033053225252
74144431421632362
oct444623206733700
978213705135455
1020120212322240
116457a30360a88
12230b522492228
13b2c43547ac64
144d7b75872d32
1524d58d7cbb95
hex124c9a1bb7c0

20120212322240 has 112 divisors (see below), whose sum is σ = 48938326446240. Its totient is φ = 7877241815040.

The previous prime is 20120212322237. The next prime is 20120212322341. The reversal of 20120212322240 is 4222321202102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227285 + ... + 6347604.

It is an arithmetic number, because the mean of its divisors is an integer number (436949343270).

Almost surely, 220120212322240 is an apocalyptic number.

20120212322240 is a gapful number since it is divisible by the number (20) 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 20120212322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24469163223120).

20120212322240 is an abundant number, since it is smaller than the sum of its proper divisors (28818114124000).

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

20120212322240 is a wasteful number, since it uses less digits than its factorization.

20120212322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6575110 (or 6575100 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 20120212322240 its reverse (4222321202102), we get a palindrome (24342533524342).

The spelling of 20120212322240 in words is "twenty trillion, one hundred twenty billion, two hundred twelve million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 131 146 160 262 292 320 365 524 584 655 730 1048 1168 1310 1460 2096 2336 2620 2920 4192 4672 5240 5840 8384 9563 10480 11680 19126 20960 23360 38252 41920 47815 76504 95630 153008 191260 306016 382520 612032 765040 1530080 3060160 6574889 13149778 26299556 32874445 52599112 65748890 105198224 131497780 210396448 262995560 420792896 479966897 525991120 861310459 959933794 1051982240 1722620918 1919867588 2103964480 2399834485 3445241836 3839735176 4306552295 4799668970 6890483672 7679470352 8613104590 9599337940 13780967344 15358940704 17226209180 19198675880 27561934688 30717881408 34452418360 38397351760 55123869376 62875663507 68904836720 76794703520 125751327014 137809673440 153589407040 251502654028 275619346880 314378317535 503005308056 628756635070 1006010616112 1257513270140 2012021232224 2515026540280 4024042464448 5030053080560 10060106161120 20120212322240