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121221202020102 = 23237475557696893
BaseRepresentation
bin11011100100000000000010…
…101011111000011100000110
3120220012122002222211100202200
4123210000002223320130012
5111342042010204120402
61105452130150215330
734350641251114662
oct3344000253703406
9526178088740680
10121221202020102
1135696694345868
1211719593354546
1352841584400b2
1421d11cd3778a2
15e0339589621c
hex6e4002af8706

121221202020102 has 96 divisors (see below), whose sum is σ = 275533690303872. Its totient is φ = 38471515875072.

The previous prime is 121221202020049. The next prime is 121221202020167. The reversal of 121221202020102 is 201020202122121.

It is a happy number.

121221202020102 is a `hidden beast` number, since 121 + 221 + 20 + 202 + 0 + 102 = 666.

It is a super-2 number, since 2×1212212020201022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173596768 + ... + 174293660.

It is an arithmetic number, because the mean of its divisors is an integer number (2870142607332).

Almost surely, 2121221202020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221202020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137766845151936).

121221202020102 is an abundant number, since it is smaller than the sum of its proper divisors (154312488283770).

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

121221202020102 is a wasteful number, since it uses less digits than its factorization.

121221202020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702542 (or 702539 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121221202020102 its reverse (201020202122121), we get a palindrome (322241404142223).

The spelling of 121221202020102 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred two million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 222 282 333 423 666 846 1739 3478 5217 5557 10434 11114 15651 16671 31302 33342 50013 100026 205609 261179 411218 522358 616827 696893 783537 1233654 1393786 1567074 1850481 2090679 2350611 3700962 4181358 4701222 6272037 9663623 12544074 19327246 25785041 28990869 32753971 51570082 57981738 65507942 77355123 86972607 98261913 154710246 173945214 196523826 232065369 294785739 464130738 589571478 1211896927 2423793854 3635690781 3872634401 7271381562 7745268802 10907072343 11617903203 21814144686 23235806406 34853709609 69707419218 143287472837 182013816847 286574945674 364027633694 429862418511 546041450541 859724837022 1092082901082 1289587255533 1638124351623 2579174511066 3276248703246 6734511223339 13469022446678 20203533670017 40407067340034 60610601010051 121221202020102