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120022211022021 = 327111213149395633
BaseRepresentation
bin11011010010100011011001…
…010000001100110011000101
3120201222000022020201212012200
4123102203121100030303011
5111212420442010201041
61103133235332105113
734165214163564330
oct3322433120146305
9521860266655180
10120022211022021
1135274152170860
1211565137765199
1351c8079bc4a59
14218d16ac61617
15dd20be5691b6
hex6d28d940ccc5

120022211022021 has 96 divisors (see below), whose sum is σ = 216469239098112. Its totient is φ = 62255422126080.

The previous prime is 120022211021963. The next prime is 120022211022031. The reversal of 120022211022021 is 120220112220021.

It is a happy number.

120022211022021 is a `hidden beast` number, since 1 + 200 + 2 + 221 + 1 + 0 + 220 + 21 = 666.

It is not a de Polignac number, because 120022211022021 - 210 = 120022211020997 is a prime.

It is a super-2 number, since 2×1200222110220212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120022211021985 and 120022211022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120022211022031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1254981421 + ... + 1255077053.

It is an arithmetic number, because the mean of its divisors is an integer number (2254887907272).

Almost surely, 2120022211022021 is an apocalyptic number.

120022211022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120022211022021 is a deficient number, since it is larger than the sum of its proper divisors (96447028076091).

120022211022021 is a wasteful number, since it uses less digits than its factorization.

120022211022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98363 (or 98360 counting only the distinct ones).

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

Adding to 120022211022021 its reverse (120220112220021), we get a palindrome (240242323242042).

The spelling of 120022211022021 in words is "one hundred twenty trillion, twenty-two billion, two hundred eleven million, twenty-two thousand, twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1213 1493 3639 4479 8491 10451 10917 13343 13437 16423 25473 31353 40029 49269 76419 93401 94059 95633 114961 120087 147807 280203 286899 344883 669431 840609 860697 1034649 1051963 1811009 2008293 3155889 5433027 6024879 7363741 9467667 12677063 16299081 19921099 22091223 38031189 59763297 66273669 114093567 116002829 139447693 142780069 179289891 348008487 418343079 428340207 812019803 999460483 1044025461 1255029237 1276031119 1285020621 1570580759 2436059409 2998381449 3828093357 4711742277 7308178227 8932217833 8995144347 10994065313 11484280071 14135226831 26796653499 32982195939 80389960497 98946587817 173192223697 519576671091 1212345565879 1558730013273 1905114460667 3637036697637 5715343382001 10911110092911 13335801224669 17146030146003 40007403674007 120022211022021