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1012002120120 = 233519443860579
BaseRepresentation
bin11101011101000000000…
…01101110000110111000
310120202011011112022002110
432232200001232012320
5113040040020320440
62052523553332320
7133054233042615
oct16564001560670
93522134468073
101012002120120
113602078a5432
121441715670a0
137457b9c3374
1436da445750c
151b4d02a5080
hexeba006e1b8

1012002120120 has 64 divisors (see below), whose sum is σ = 3195796176000. Its totient is φ = 255663692928.

The previous prime is 1012002120097. The next prime is 1012002120121. The reversal of 1012002120120 is 210212002101.

It is a super-2 number, since 2×10120021201202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012002120096 and 1012002120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012002120121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221928010 + ... + 221932569.

It is an arithmetic number, because the mean of its divisors is an integer number (49934315250).

Almost surely, 21012002120120 is an apocalyptic number.

1012002120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012002120120 is an abundant number, since it is smaller than the sum of its proper divisors (2183794055880).

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

1012002120120 is a wasteful number, since it uses less digits than its factorization.

1012002120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443860612 (or 443860608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012002120120 its reverse (210212002101), we get a palindrome (1222214122221).

The spelling of 1012002120120 in words is "one trillion, twelve billion, two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 443860579 887721158 1331581737 1775442316 2219302895 2663163474 3550884632 4438605790 5326326948 6657908685 8433351001 8877211580 10652653896 13315817370 16866702002 17754423160 25300053003 26631634740 33733404004 42166755005 50600106006 53263269480 67466808008 84333510010 101200212012 126500265015 168667020020 202400424024 253000530030 337334040040 506001060060 1012002120120