Search a number
-
+
121211220020 = 225112411221641
BaseRepresentation
bin111000011100011000…
…0000111000000110100
3102120212102021222000012
41300320300013000310
53441220033020040
6131403401035352
711520504241052
oct1607060070064
9376772258005
10121211220020
1147450634700
121b5a9485b58
13b5791097c7
145c1c1571d2
1532464aa865
hex1c38c07034

121211220020 has 72 divisors (see below), whose sum is σ = 286611872904. Its totient is φ = 43001728000.

The previous prime is 121211220017. The next prime is 121211220049. The reversal of 121211220020 is 20022112121.

It can be written as a sum of positive squares in 4 ways, for example, as 10664279824 + 110546940196 = 103268^2 + 332486^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121211219977 and 121211220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511601 + ... + 710040.

It is an arithmetic number, because the mean of its divisors is an integer number (3980720457).

Almost surely, 2121211220020 is an apocalyptic number.

121211220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211220020 is an abundant number, since it is smaller than the sum of its proper divisors (165400652884).

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

121211220020 is a wasteful number, since it uses less digits than its factorization.

121211220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221713 (or 1221700 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121211220020 its reverse (20022112121), we get a palindrome (141233332141).

The spelling of 121211220020 in words is "one hundred twenty-one billion, two hundred eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 164 205 220 242 410 451 484 605 820 902 1210 1804 2255 2420 4510 4961 9020 9922 19844 24805 49610 99220 1221641 2443282 4886564 6108205 12216410 13438051 24432820 26876102 50087281 53752204 67190255 100174562 134380510 147818561 200349124 250436405 268761020 295637122 500872810 550960091 591274244 739092805 1001745620 1101920182 1478185610 2203840364 2754800455 2956371220 5509600910 6060561001 11019201820 12121122002 24242244004 30302805005 60605610010 121211220020