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1012012200120 = 233523366671087
BaseRepresentation
bin11101011101000001010…
…00001011000010111000
310120202011212111102020210
432232200220023002320
5113040100110400440
62052524553351120
7133054414524435
oct16564050130270
93522155442223
101012012200120
1136021255a709
12144174a084a0
1374580b1246c
1436da591cb8c
151b4d10e6a80
hexeba0a0b0b8

1012012200120 has 64 divisors (see below), whose sum is σ = 3168038200320. Its totient is φ = 258136444544.

The previous prime is 1012012200107. The next prime is 1012012200131. The reversal of 1012012200120 is 210022102101.

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 = 1012012200096 and 1012012200105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183332784 + ... + 183338303.

It is an arithmetic number, because the mean of its divisors is an integer number (49500596880).

Almost surely, 21012012200120 is an apocalyptic number.

1012012200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012012200120 is an abundant number, since it is smaller than the sum of its proper divisors (2156026000200).

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

1012012200120 is a wasteful number, since it uses less digits than its factorization.

1012012200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366671124 (or 366671120 counting only the distinct ones).

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

Adding to 1012012200120 its reverse (210022102101), we get a palindrome (1222034302221).

The spelling of 1012012200120 in words is "one trillion, twelve billion, twelve million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 366671087 733342174 1100013261 1466684348 1833355435 2200026522 2933368696 3666710870 4400053044 5500066305 7333421740 8433435001 8800106088 11000132610 14666843480 16866870002 22000265220 25300305003 33733740004 42167175005 44000530440 50600610006 67467480008 84334350010 101201220012 126501525015 168668700020 202402440024 253003050030 337337400040 506006100060 1012012200120