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1120012211112 = 2332952316991811
BaseRepresentation
bin10000010011000101111…
…011100001001110101000
310222001221120120102110220
4100103011323201032220
5121322241111223422
62214305420410040
7143626642500234
oct20230573411650
93861846512426
101120012211112
113a1aa3770443
121610959a6920
1381802b6a002
143c2cd24b5c4
151e20282ee5c
hex104c5ee13a8

1120012211112 has 128 divisors (see below), whose sum is σ = 2905433280000. Its totient is φ = 359364176640.

The previous prime is 1120012210997. The next prime is 1120012211207. The reversal of 1120012211112 is 2111122100211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120012211091 and 1120012211100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618448687 + ... + 618450497.

It is an arithmetic number, because the mean of its divisors is an integer number (22698697500).

Almost surely, 21120012211112 is an apocalyptic number.

1120012211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120012211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452716640000).

1120012211112 is an abundant number, since it is smaller than the sum of its proper divisors (1785421068888).

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

1120012211112 is a wasteful number, since it uses less digits than its factorization.

1120012211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1120012211112 its reverse (2111122100211), we get a palindrome (3231134311323).

The spelling of 1120012211112 in words is "one trillion, one hundred twenty billion, twelve million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 523 696 1046 1569 1699 1811 2092 3138 3398 3622 4184 5097 5433 6276 6796 7244 10194 10866 12552 13592 14488 15167 20388 21732 30334 40776 43464 45501 49271 52519 60668 91002 98542 105038 121336 147813 157557 182004 197084 210076 295626 315114 364008 394168 420152 591252 630228 888577 947153 1182504 1260456 1777154 1894306 2665731 2841459 3076889 3554308 3788612 5331462 5682918 6153778 7108616 7577224 9230667 10662924 11365836 12307556 18461334 21325848 22731672 24615112 25768733 27467437 36922668 51537466 54934874 73845336 77306199 82402311 89229781 103074932 109869748 154612398 164804622 178459562 206149864 219739496 267689343 309224796 329609244 356919124 535378686 618449592 659218488 713838248 1070757372 1609212947 2141514744 3218425894 4827638841 6436851788 9655277682 12873703576 19310555364 38621110728 46667175463 93334350926 140001526389 186668701852 280003052778 373337403704 560006105556 1120012211112