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120222120021010 = 25721012429220449
BaseRepresentation
bin11011010101011101100100…
…110000100000110000010010
3120202200010022020210012210021
4123111131210300200300102
5111224204400211133020
61103405140211454054
734215522131206300
oct3325354460406022
9522603266705707
10120222120021010
1135340a07627607
1211597a288b732a
135210b88401477
142198ad2c15270
15dd73bea151aa
hex6d5764c20c12

120222120021010 has 48 divisors (see below), whose sum is σ = 254222778533400. Its totient is φ = 40810903526400.

The previous prime is 120222120020969. The next prime is 120222120021011. The reversal of 120222120021010 is 10120021222021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 102951604301049 + 17270515719961 = 10146507^2 + 4155781^2 .

It is a super-2 number, since 2×1202221200210102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120222120021011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214560735 + ... + 1214659714.

Almost surely, 2120222120021010 is an apocalyptic number.

120222120021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120222120021010 is an abundant number, since it is smaller than the sum of its proper divisors (134000658512390).

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

120222120021010 is a wasteful number, since it uses less digits than its factorization.

120222120021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429220571 (or 2429220564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120222120021010 its reverse (10120021222021), we get a palindrome (130342141243031).

The spelling of 120222120021010 in words is "one hundred twenty trillion, two hundred twenty-two billion, one hundred twenty million, twenty-one thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 101 202 245 490 505 707 1010 1414 3535 4949 7070 9898 24745 49490 2429220449 4858440898 12146102245 17004543143 24292204490 34009086286 85022715715 119031802001 170045431430 238063604002 245351265349 490702530698 595159010005 1190318020010 1226756326745 1717458857443 2453512653490 3434917714886 8587294287215 12022212002101 17174588574430 24044424004202 60111060010505 120222120021010