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1001122200012 = 2231122733410833
BaseRepresentation
bin11101001000101111000…
…10000111100111001100
310112201001221001002111110
432210113202013213030
5112400244240400022
62043524215052020
7132220512203124
oct16442742074714
93481057032443
101001122200012
11356634423420
12142035971010
137353692010c
14366514c3c84
151b09503500c
hexe9178879cc

1001122200012 has 48 divisors (see below), whose sum is σ = 2559537171072. Its totient is φ = 302033921280.

The previous prime is 1001122199993. The next prime is 1001122200019. The reversal of 1001122200012 is 2100022211001.

1001122200012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1001122200019) 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, 16675453 + ... + 16735380.

It is an arithmetic number, because the mean of its divisors is an integer number (53323691064).

Almost surely, 21001122200012 is an apocalyptic number.

1001122200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001122200012 is an abundant number, since it is smaller than the sum of its proper divisors (1558414971060).

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

1001122200012 is a wasteful number, since it uses less digits than its factorization.

1001122200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33411078 (or 33411076 counting only the distinct ones).

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

Adding to 1001122200012 its reverse (2100022211001), we get a palindrome (3101144411013).

The spelling of 1001122200012 in words is "one trillion, one billion, one hundred twenty-two million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 454 681 908 1362 2497 2724 4994 7491 9988 14982 29964 33410833 66821666 100232499 133643332 200464998 367519163 400929996 735038326 1102557489 1470076652 2205114978 4410229956 7584259091 15168518182 22752777273 30337036364 45505554546 83426850001 91011109092 166853700002 250280550003 333707400004 500561100006 1001122200012