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120021201010221 = 37315311812945447
BaseRepresentation
bin11011010010100010011101…
…000011010011111000101101
3120201221220200212012221111020
4123102202131003103320231
5111212411404424311341
61103132551212044353
734165150150614450
oct3322423503237055
9521856625187436
10120021201010221
1135273784029a65
1211564ab54636b9
1351c7c48890834
14218d0b2a69497
15dd2060a5b566
hex6d289d0d3e2d

120021201010221 has 64 divisors (see below), whose sum is σ = 192514104262656. Its totient is φ = 65063723961600.

The previous prime is 120021201010187. The next prime is 120021201010297. The reversal of 120021201010221 is 122010102120021.

120021201010221 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 120021201010221 - 29 = 120021201009709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120021201010221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021201010021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39275320 + ... + 42220766.

It is an arithmetic number, because the mean of its divisors is an integer number (3008032879104).

Almost surely, 2120021201010221 is an apocalyptic number.

It is an amenable number.

120021201010221 is a deficient number, since it is larger than the sum of its proper divisors (72492903252435).

120021201010221 is a wasteful number, since it uses less digits than its factorization.

120021201010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946722.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120021201010221 its reverse (122010102120021), we get a palindrome (242031303130242).

The spelling of 120021201010221 in words is "one hundred twenty trillion, twenty-one billion, two hundred one million, ten thousand, two hundred twenty-one".

Divisors: 1 3 7 21 31 53 93 159 217 371 651 1113 1181 1643 3543 4929 8267 11501 24801 34503 36611 62593 109833 187779 256277 438151 768831 1314453 1940383 2945447 5821149 8836341 13582681 20618129 40748043 61854387 91308857 156108691 273926571 468326073 639161999 1092760837 1917485997 3278282511 3478572907 4839369421 10435718721 14518108263 24350010349 33875585947 73050031047 101626757841 107835760117 184364364071 323507280351 553093092213 754850320819 1290550548497 2264550962457 3871651645491 5715295286201 17145885858603 40007067003407 120021201010221