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1121011211012 = 2271130716637129
BaseRepresentation
bin10000010100000001011…
…110011001101100000100
310222011112012100212201012
4100110001132121230010
5121331312332223022
62214552504421352
7143663463034340
oct20240136315404
93864465325635
101121011211012
113a24666708a0
12161314477858
1381931b16c04
143c385bb8620
151e2603b4de2
hex10501799b04

1121011211012 has 96 divisors (see below), whose sum is σ = 2455629496320. Its totient is φ = 435012145920.

The previous prime is 1121011210999. The next prime is 1121011211017. The reversal of 1121011211012 is 2101121101211.

It is a super-2 number, since 2×11210112110122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1121011211017) 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, 157243064 + ... + 157250192.

It is an arithmetic number, because the mean of its divisors is an integer number (25579473920).

Almost surely, 21121011211012 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 1121011211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227814748160).

1121011211012 is an abundant number, since it is smaller than the sum of its proper divisors (1334618285308).

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

1121011211012 is a wasteful number, since it uses less digits than its factorization.

1121011211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1121011211012 its reverse (2101121101211), we get a palindrome (3222132312223).

It can be divided in two parts, 11 and 21011211012, that multiplied together give a palindrome (231123321132).

The spelling of 1121011211012 in words is "one trillion, one hundred twenty-one billion, eleven million, two hundred eleven thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 307 308 614 1228 1663 2149 3326 3377 4298 6652 6754 7129 8596 11641 13508 14258 18293 23282 23639 28516 36586 46564 47278 49903 73172 78419 94556 99806 128051 156838 199612 256102 313676 510541 512204 548933 1021082 1097866 2042164 2188603 2195732 3573787 4377206 5615951 7147574 8754412 11231902 11855527 14295148 15320221 22463804 23711054 24074633 30640442 39311657 47422108 48149266 61280884 78623314 82988689 96298532 130410797 157246628 165977378 168522431 260821594 331954756 337044862 521643188 674089724 912875579 1825751158 3639646789 3651502316 7279293578 14558587156 25477527523 40036114679 50955055046 80072229358 101910110092 160144458716 280252802753 560505605506 1121011211012