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120021012200 = 23525311322737
BaseRepresentation
bin110111111000111001…
…1110100111011101000
3102110210110201010211002
41233301303310323220
53431300334342300
6131045322454132
711446142525315
oct1576163647350
9373713633732
10120021012200
114699a806981
121b316964348
13b41966341b
145b48055d0c
1531c6c565d5
hex1bf1cf4ee8

120021012200 has 48 divisors (see below), whose sum is σ = 284313951180. Its totient is φ = 47102581760.

The previous prime is 120021012149. The next prime is 120021012227. The reversal of 120021012200 is 2210120021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 97905158404 + 22115853796 = 312898^2 + 148714^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5650769 + ... + 5671968.

Almost surely, 2120021012200 is an apocalyptic number.

120021012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021012200 is an abundant number, since it is smaller than the sum of its proper divisors (164292938980).

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

120021012200 is a wasteful number, since it uses less digits than its factorization.

120021012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11322806 (or 11322797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120021012200 its reverse (2210120021), we get a palindrome (122231132221).

The spelling of 120021012200 in words is "one hundred twenty billion, twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 11322737 22645474 45290948 56613685 90581896 113227370 226454740 283068425 452909480 566136850 600105061 1132273700 1200210122 2264547400 2400420244 3000525305 4800840488 6001050610 12002101220 15002626525 24004202440 30005253050 60010506100 120021012200