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1125231321204 = 22321910759925667
BaseRepresentation
bin10000010111111101000…
…000110110000001110100
310222120102022020200120200
4100113331000312001310
5121413433204234304
62220531340200500
7144203165263524
oct20277500660164
93876368220520
101125231321204
113a4231823071
121620b1839130
1382155214233
143c666467684
151e40ab17e39
hex105fd036074

1125231321204 has 144 divisors (see below), whose sum is σ = 3027181248000. Its totient is φ = 351413944128.

The previous prime is 1125231321199. The next prime is 1125231321251. The reversal of 1125231321204 is 4021231325211.

It is a happy number.

1125231321204 is a `hidden beast` number, since 1 + 1 + 2 + 523 + 13 + 2 + 120 + 4 = 666.

It is a super-2 number, since 2×11252313212042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43826779 + ... + 43852445.

It is an arithmetic number, because the mean of its divisors is an integer number (21022092000).

Almost surely, 21125231321204 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 1125231321204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513590624000).

1125231321204 is an abundant number, since it is smaller than the sum of its proper divisors (1901949926796).

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

1125231321204 is a wasteful number, since it uses less digits than its factorization.

1125231321204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26402 (or 26397 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1125231321204 its reverse (4021231325211), we get a palindrome (5146462646415).

The spelling of 1125231321204 in words is "one trillion, one hundred twenty-five billion, two hundred thirty-one million, three hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 107 114 171 214 228 321 342 428 599 642 684 963 1198 1284 1797 1926 2033 2396 3594 3852 4066 5391 6099 7188 8132 10782 11381 12198 18297 21564 22762 24396 25667 34143 36594 45524 51334 64093 68286 73188 77001 102429 102668 128186 136572 154002 192279 204858 231003 256372 308004 384558 409716 462006 487673 576837 769116 924012 975346 1153674 1217767 1463019 1950692 2307348 2435534 2746369 2926038 3653301 4389057 4871068 5492738 5852076 7306602 8239107 8778114 10959903 10985476 14613204 15374533 16478214 17556228 21919806 24717321 30749066 32956428 43839612 46123599 49434642 52181011 61498132 92247198 98869284 104362022 138370797 156543033 184494396 208724044 276741594 292116127 313086066 469629099 553483188 584232254 626172132 876348381 939258198 1168464508 1645075031 1752696762 1878516396 2629045143 3290150062 3505393524 4935225093 5258090286 6580300124 9870450186 10516180572 14805675279 19740900372 29611350558 31256425589 59222701116 62512851178 93769276767 125025702356 187538553534 281307830301 375077107068 562615660602 1125231321204