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1201123104 = 253113263421
BaseRepresentation
bin100011110010111…
…1010111100100000
310002201010101010220
41013211322330200
54424441414404
6315104123040
741523243426
oct10745727440
93081111126
101201123104
11567003625
12296306480
13161ac873c
14b5743116
15706ad4d9
hex4797af20

1201123104 has 96 divisors (see below), whose sum is σ = 3200529024. Its totient is φ = 394383360.

The previous prime is 1201123097. The next prime is 1201123111. The reversal of 1201123104 is 4013211021.

1201123104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1201123097) and next prime (1201123111).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2852814 + ... + 2853234.

It is an arithmetic number, because the mean of its divisors is an integer number (33338844).

Almost surely, 21201123104 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 1201123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600264512).

1201123104 is an abundant number, since it is smaller than the sum of its proper divisors (1999405920).

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

1201123104 is a wasteful number, since it uses less digits than its factorization.

1201123104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1201123104 is about 34657.2229701112. Note that the first 3 decimals coincide. The cubic root of 1201123104 is about 1062.9899869466.

Adding to 1201123104 its reverse (4013211021), we get a palindrome (5214334125).

The spelling of 1201123104 in words is "one billion, two hundred one million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 263 339 421 452 526 678 789 842 904 1052 1263 1356 1578 1684 1808 2104 2526 2712 3156 3368 3616 4208 5052 5424 6312 6736 8416 10104 10848 12624 13472 20208 25248 29719 40416 47573 59438 89157 95146 110723 118876 142719 178314 190292 221446 237752 285438 332169 356628 380584 442892 475504 570876 664338 713256 761168 885784 951008 1141752 1328676 1426512 1522336 1771568 2283504 2657352 2853024 3543136 4567008 5314704 10629408 12511699 25023398 37535097 50046796 75070194 100093592 150140388 200187184 300280776 400374368 600561552 1201123104