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121020212000 = 2553171779709
BaseRepresentation
bin111000010110101011…
…1011110001100100000
3102120101002212202021002
41300231113132030200
53440322133241000
6131332415051132
711512664554262
oct1605527361440
9376332782232
10121020212000
1147362833536
121b555510aa8
13b5486802cc
145c00a35b32
15323482a8d5
hex1c2d5de320

121020212000 has 96 divisors (see below), whose sum is σ = 314837817840. Its totient is φ = 45560524800.

The previous prime is 121020211999. The next prime is 121020212003. The reversal of 121020212000 is 212020121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7480866064 + 113539345936 = 86492^2 + 336956^2 .

It is not an unprimeable number, because it can be changed into a prime (121020212003) 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, 821855 + ... + 957854.

Almost surely, 2121020212000 is an apocalyptic number.

121020212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020212000 is an abundant number, since it is smaller than the sum of its proper divisors (193817605840).

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

121020212000 is a wasteful number, since it uses less digits than its factorization.

121020212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779751 (or 1779733 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121020212000 its reverse (212020121), we get a palindrome (121232232121).

The spelling of 121020212000 in words is "one hundred twenty-one billion, twenty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 1779709 3559418 7118836 8898545 14237672 17797090 28475344 30255053 35594180 44492725 56950688 60510106 71188360 88985450 121020212 142376720 151275265 177970900 222463625 242040424 284753440 302550530 355941800 444927250 484080848 605101060 711883600 756376325 889854500 968161696 1210202120 1423767200 1512752650 1779709000 2420404240 3025505300 3559418000 3781881625 4840808480 6051010600 7118836000 7563763250 12102021200 15127526500 24204042400 30255053000 60510106000 121020212000