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1120001001012 = 223483254916339
BaseRepresentation
bin10000010011000101010…
…000110000011000110100
310222001220210110220010000
4100103011100300120310
5121322230224013022
62214304340231300
7143626445300565
oct20230520603064
93861823426100
101120001001012
113a1a984040a3
1216109209b530
138180074370a
143c2cb97016c
151e2018686ac
hex104c5430634

1120001001012 has 120 divisors (see below), whose sum is σ = 2964523716000. Its totient is φ = 368668407744.

The previous prime is 1120001001011. The next prime is 1120001001029. The reversal of 1120001001012 is 2101001000211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1120001000985 and 1120001001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120001001011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68539539 + ... + 68555877.

It is an arithmetic number, because the mean of its divisors is an integer number (24704364300).

Almost surely, 21120001001012 is an apocalyptic number.

1120001001012 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 1120001001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482261858000).

1120001001012 is an abundant number, since it is smaller than the sum of its proper divisors (1844522714988).

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

1120001001012 is a wasteful number, since it uses less digits than its factorization.

1120001001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18987 (or 18976 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120001001012 its reverse (2101001000211), we get a palindrome (3221002001223).

The spelling of 1120001001012 in words is "one trillion, one hundred twenty billion, one million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 747 996 1494 2241 2549 2988 4482 5098 6723 7647 8964 10196 13446 15294 16339 22941 26892 30588 32678 45882 49017 65356 68823 91764 98034 137646 147051 196068 206469 211567 275292 294102 412938 423134 441153 588204 634701 825876 846268 882306 1269402 1323459 1356137 1764612 1904103 2538804 2646918 2712274 3808206 4068411 5293836 5424548 5712309 7616412 8136822 11424618 12205233 16273644 17136927 22849236 24410466 34273854 36615699 41648111 48820932 68547708 73231398 83296222 109847097 124944333 146462796 166592444 219694194 249888666 374832999 439388388 499777332 749665998 1124498997 1499331996 2248997994 3373496991 3456793213 4497995988 6746993982 6913586426 10370379639 13493987964 13827172852 20740759278 31111138917 41481518556 62222277834 93333416751 124444555668 186666833502 280000250253 373333667004 560000500506 1120001001012