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20120202022212 = 223210114933706369
BaseRepresentation
bin1001001001100100110010…
…11111101000110101000100
32122020110202110202220112100
410210302121133220311010
510114122133204202322
6110443032044352100
74144431235243215
oct444623137506504
978213673686470
1020120202022212
116457a25566466
12230b51ab45630
13b2c4332b2976
144d7b7435140c
1524d58c944dac
hex124c997e8d44

20120202022212 has 72 divisors (see below), whose sum is σ = 51397374351960. Its totient is φ = 6635881267200.

The previous prime is 20120202022201. The next prime is 20120202022223. The reversal of 20120202022212 is 21222020202102.

20120202022212 is a `hidden beast` number, since 201 + 20 + 20 + 202 + 221 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20120202022201) and next prime (20120202022223).

It can be written as a sum of positive squares in 4 ways, for example, as 17083805161536 + 3036396860676 = 4133256^2 + 1742526^2 .

It is a super-3 number, since 3×201202020222123 (a number of 41 digits) contains 333 as substring.

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

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, 3575364 + ... + 7281732.

It is an arithmetic number, because the mean of its divisors is an integer number (713852421555).

Almost surely, 220120202022212 is an apocalyptic number.

It is an amenable number.

20120202022212 is an abundant number, since it is smaller than the sum of its proper divisors (31277172329748).

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

20120202022212 is a wasteful number, since it uses less digits than its factorization.

20120202022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707973 (or 3707968 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20120202022212 its reverse (21222020202102), we get a palindrome (41342222224314).

The spelling of 20120202022212 in words is "twenty trillion, one hundred twenty billion, two hundred two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1493 1818 2986 3636 4479 5972 8958 13437 17916 26874 53748 150793 301586 452379 603172 904758 1357137 1809516 2714274 3706369 5428548 7412738 11119107 14825476 22238214 33357321 44476428 66714642 133429284 374343269 748686538 1123029807 1497373076 2246059614 3369089421 4492119228 5533608917 6738178842 11067217834 13476357684 16600826751 22134435668 33201653502 49802480253 66403307004 99604960506 199209921012 558894500617 1117789001234 1676683501851 2235578002468 3353367003702 5030050505553 6706734007404 10060101011106 20120202022212