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2211120112012 = 2272359337172681
BaseRepresentation
bin100000001011010001000…
…001110110000110001100
321211101021202120202101221
4200023101001312012030
5242211333222041022
64411435145413124
7315514421563510
oct40132101660614
97741252522357
102211120112012
117828047287a9
122b864379a1a4
1313067a643a86
147903978a140
153c7b2819cc7
hex202d107618c

2211120112012 has 96 divisors (see below), whose sum is σ = 4706675850240. Its totient is φ = 888409589760.

The previous prime is 2211120111971. The next prime is 2211120112013. The reversal of 2211120112012 is 2102110211122.

It is not an unprimeable number, because it can be changed into a prime (2211120112013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12718312 + ... + 12890992.

It is an arithmetic number, because the mean of its divisors is an integer number (49027873440).

Almost surely, 22211120112012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211120112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353337925120).

2211120112012 is an abundant number, since it is smaller than the sum of its proper divisors (2495555738228).

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

2211120112012 is a wasteful number, since it uses less digits than its factorization.

2211120112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173111 (or 173109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2211120112012 its reverse (2102110211122), we get a palindrome (4313230323134).

The spelling of 2211120112012 in words is "two trillion, two hundred eleven billion, one hundred twenty million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 7 14 23 28 46 59 92 118 161 236 322 337 413 644 674 826 1348 1357 1652 2359 2714 4718 5428 7751 9436 9499 15502 18998 19883 31004 37996 39766 54257 79532 108514 139181 172681 217028 278362 345362 457309 556724 690724 914618 1208767 1829236 2417534 3201163 3971663 4835068 6402326 7943326 10188179 12804652 15886652 20376358 27801641 40752716 55603282 58193497 71317253 111206564 116386994 142634506 232773988 234328117 285269012 407354479 468656234 814708958 937312468 1338450431 1629417916 1640296819 2676900862 3280593638 3433416323 5353801724 6561187276 6866832646 9369153017 13733665292 18738306034 24033914261 37476612068 48067828522 78968575429 96135657044 157937150858 315874301716 552780028003 1105560056006 2211120112012