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1122244112040 = 233543673246107
BaseRepresentation
bin10000010101001010111…
…101100010111010101000
310222021201010021201222020
4100111022331202322220
5121341323443041130
62215315110024440
7144036153363102
oct20251275427250
93867633251866
101122244112040
113a2a395a9667
121615b9348120
1381a9a38a94c
143c461830572
151e2d374de10
hex1054af62ea8

1122244112040 has 128 divisors (see below), whose sum is σ = 3496447848960. Its totient is φ = 287942586624.

The previous prime is 1122244112021. The next prime is 1122244112111. The reversal of 1122244112040 is 402114422211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1122244112040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277334 + ... + 1968773.

It is an arithmetic number, because the mean of its divisors is an integer number (27315998820).

Almost surely, 21122244112040 is an apocalyptic number.

1122244112040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122244112040 is an abundant number, since it is smaller than the sum of its proper divisors (2374203736920).

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

1122244112040 is a wasteful number, since it uses less digits than its factorization.

1122244112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246231 (or 3246227 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1122244112040 its reverse (402114422211), we get a palindrome (1524358534251).

The spelling of 1122244112040 in words is "one trillion, one hundred twenty-two billion, two hundred forty-four million, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 67 86 120 129 134 172 201 215 258 268 335 344 402 430 516 536 645 670 804 860 1005 1032 1290 1340 1608 1720 2010 2580 2680 2881 4020 5160 5762 8040 8643 11524 14405 17286 23048 28810 34572 43215 57620 69144 86430 115240 172860 345720 3246107 6492214 9738321 12984428 16230535 19476642 25968856 32461070 38953284 48691605 64922140 77906568 97383210 129844280 139582601 194766420 217489169 279165202 389532840 418747803 434978338 558330404 652467507 697913005 837495606 869956676 1087445845 1116660808 1304935014 1395826010 1674991212 1739913352 2093739015 2174891690 2609870028 2791652020 3262337535 3349982424 4187478030 4349783380 5219740056 5583304040 6524675070 8374956060 8699566760 9352034267 13049350140 16749912120 18704068534 26098700280 28056102801 37408137068 46760171335 56112205602 74816274136 93520342670 112224411204 140280514005 187040685340 224448822408 280561028010 374081370680 561122056020 1122244112040