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1201002200040 = 2335372331160927
BaseRepresentation
bin10001011110100001010…
…011110011101111101000
311020210222220112010222110
4101132201103303233220
5124134123030400130
62315422141122320
7152524645156026
oct21364123635750
94223886463873
101201002200040
11423384482895
121749192593a0
138933c115396
14421b3689716
1521392ba3ab0
hex117a14f3be8

1201002200040 has 128 divisors (see below), whose sum is σ = 3716269839360. Its totient is φ = 310273726464.

The previous prime is 1201002200023. The next prime is 1201002200113. The reversal of 1201002200040 is 400022001021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1201002199989 and 1201002200025.

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, 454057 + ... + 1614983.

It is an arithmetic number, because the mean of its divisors is an integer number (29033358120).

Almost surely, 21201002200040 is an apocalyptic number.

1201002200040 is a gapful number since it is divisible by the number (10) 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 1201002200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858134919680).

1201002200040 is an abundant number, since it is smaller than the sum of its proper divisors (2515267639320).

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

1201002200040 is a wasteful number, since it uses less digits than its factorization.

1201002200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161211 (or 1161207 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1201002200040 its reverse (400022001021), we get a palindrome (1601024201061).

The spelling of 1201002200040 in words is "one trillion, two hundred one billion, two million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 233 296 370 444 466 555 699 740 888 932 1110 1165 1398 1480 1864 2220 2330 2796 3495 4440 4660 5592 6990 8621 9320 13980 17242 25863 27960 34484 43105 51726 68968 86210 103452 129315 172420 206904 258630 344840 517260 1034520 1160927 2321854 3482781 4643708 5804635 6965562 9287416 11609270 13931124 17413905 23218540 27862248 34827810 42954299 46437080 69655620 85908598 128862897 139311240 171817196 214771495 257725794 270495991 343634392 429542990 515451588 540991982 644314485 811487973 859085980 1030903176 1081983964 1288628970 1352479955 1622975946 1718171960 2163967928 2577257940 2704959910 3245951892 4057439865 5154515880 5409919820 6491903784 8114879730 10008351667 10819839640 16229759460 20016703334 30025055001 32459518920 40033406668 50041758335 60050110002 80066813336 100083516670 120100220004 150125275005 200167033340 240200440008 300250550010 400334066680 600501100020 1201002200040