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1002210012012 = 223112719721511
BaseRepresentation
bin11101001010110000101…
…11110010101101101100
310112210212201221200000210
432211120113302231230
5112410011230341022
62044224154422420
7132256461354516
oct16453027625554
93483781850023
101002210012012
11357042473700
1214229a131a10
137367b0c4361
1436715b6cbb6
151b10a7aea0c
hexe9585f2b6c

1002210012012 has 72 divisors (see below), whose sum is σ = 2606609569536. Its totient is φ = 299422508000.

The previous prime is 1002210011993. The next prime is 1002210012031. The reversal of 1002210012012 is 2102100122001.

It is an interprime number because it is at equal distance from previous prime (1002210011993) and next prime (1002210012031).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4757664 + ... + 4963847.

It is an arithmetic number, because the mean of its divisors is an integer number (36202910688).

Almost surely, 21002210012012 is an apocalyptic number.

1002210012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002210012012 is an abundant number, since it is smaller than the sum of its proper divisors (1604399557524).

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

1002210012012 is a wasteful number, since it uses less digits than its factorization.

1002210012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9721611 (or 9721598 counting only the distinct ones).

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

Adding to 1002210012012 its reverse (2102100122001), we get a palindrome (3104310134013).

The spelling of 1002210012012 in words is "one trillion, two billion, two hundred ten million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 121 132 142 213 242 284 363 426 484 726 781 852 1452 1562 2343 3124 4686 8591 9372 17182 25773 34364 51546 103092 9721511 19443022 29164533 38886044 58329066 106936621 116658132 213873242 320809863 427746484 641619726 690227281 1176302831 1283239452 1380454562 2070681843 2352605662 2760909124 3528908493 4141363686 4705211324 7057816986 7592500091 8282727372 14115633972 15185000182 22777500273 30370000364 45555000546 83517501001 91110001092 167035002002 250552503003 334070004004 501105006006 1002210012012