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1012022120120 = 235119091253003
BaseRepresentation
bin11101011101000010011…
…10000000111010111000
310120202012120011101221012
432232201032000322320
5113040110130320440
62052525550133052
7133054565041634
oct16564116007270
93522176141835
101012022120120
11360218115760
121441781b1188
1374582ba679b
1436da6d81dc4
151b4d1e05e65
hexeba1380eb8

1012022120120 has 64 divisors (see below), whose sum is σ = 2484337357440. Its totient is φ = 367966108800.

The previous prime is 1012022120111. The next prime is 1012022120173. The reversal of 1012022120120 is 210212202101.

It is a super-2 number, since 2×10120221201202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012022120095 and 1012022120104.

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 15 ways as a sum of consecutive naturals, for example, 3873539 + ... + 4126541.

It is an arithmetic number, because the mean of its divisors is an integer number (38817771210).

Almost surely, 21012022120120 is an apocalyptic number.

1012022120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012022120120 is an abundant number, since it is smaller than the sum of its proper divisors (1472315237320).

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

1012022120120 is a wasteful number, since it uses less digits than its factorization.

1012022120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262116 (or 262112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1012022120120 its reverse (210212202101), we get a palindrome (1222234322221).

The spelling of 1012022120120 in words is "one trillion, twelve billion, twenty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 9091 18182 36364 45455 72728 90910 100001 181820 200002 253003 363640 400004 500005 506006 800008 1000010 1012012 1265015 2000020 2024024 2530030 2783033 4000040 5060060 5566066 10120120 11132132 13915165 22264264 27830330 55660660 111321320 2300050273 4600100546 9200201092 11500251365 18400402184 23000502730 25300553003 46001005460 50601106006 92002010920 101202212012 126502765015 202404424024 253005530030 506011060060 1012022120120