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20120321123000 = 235377513827339
BaseRepresentation
bin1001001001100101000001…
…00101111110001010111000
32122020111001202212212002122
410210302200211332022320
510114122404201414000
6110443051541220412
74144434212500640
oct444624045761270
978214052785078
1020120321123000
116457a8681366a
12230b552a01708
13b2c451b834c7
144d7b860b5520
1524d59811e085
hex124ca097e2b8

20120321123000 has 128 divisors (see below), whose sum is σ = 53879149209600. Its totient is φ = 6889208400000.

The previous prime is 20120321122997. The next prime is 20120321123029. The reversal of 20120321123000 is 32112302102.

It is a super-2 number, since 2×201203211230002 (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 20120321123000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3343331 + ... + 7170669.

It is an arithmetic number, because the mean of its divisors is an integer number (420930853200).

Almost surely, 220120321123000 is an apocalyptic number.

20120321123000 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 20120321123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26939574604800).

20120321123000 is an abundant number, since it is smaller than the sum of its proper divisors (33758828086600).

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

20120321123000 is a wasteful number, since it uses less digits than its factorization.

20120321123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828118 (or 3828104 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20120321123000 its reverse (32112302102), we get a palindrome (20152433425102).

The spelling of 20120321123000 in words is "twenty trillion, one hundred twenty billion, three hundred twenty-one million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 751 875 1000 1400 1502 1750 3004 3500 3755 5257 6008 7000 7510 10514 15020 18775 21028 26285 30040 37550 42056 52570 75100 93875 105140 131425 150200 187750 210280 262850 375500 525700 657125 751000 1051400 1314250 2628500 3827339 5257000 7654678 15309356 19136695 26791373 30618712 38273390 53582746 76546780 95683475 107165492 133956865 153093560 191366950 214330984 267913730 382733900 478417375 535827460 669784325 765467800 956834750 1071654920 1339568650 1913669500 2679137300 2874331589 3348921625 3827339000 5358274600 5748663178 6697843250 11497326356 13395686500 14371657945 20120321123 22994652712 26791373000 28743315890 40240642246 57486631780 71858289725 80481284492 100601605615 114973263560 143716579450 160962568984 201203211230 287433158900 359291448625 402406422460 503008028075 574866317800 718582897250 804812844920 1006016056150 1437165794500 2012032112300 2515040140375 2874331589000 4024064224600 5030080280750 10060160561500 20120321123000