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12120022012 = 22723113115227
BaseRepresentation
bin10110100100110100…
…01101101111111100
31011021122221220121011
423102122031233330
5144310211201022
65322354045004
7606226326100
oct132232155774
934248856534
1012120022012
11515a488a1a
122422b79764
1311b1c98777
1482d941900
154ae07c977
hex2d268dbfc

12120022012 has 72 divisors (see below), whose sum is σ = 25664905728. Its totient is φ = 4988037600.

The previous prime is 12120022003. The next prime is 12120022049. The reversal of 12120022012 is 21022002121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12120021983 and 12120022001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 788343 + ... + 803569.

It is an arithmetic number, because the mean of its divisors is an integer number (356457024).

Almost surely, 212120022012 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 12120022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832452864).

12120022012 is an abundant number, since it is smaller than the sum of its proper divisors (13544883716).

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

12120022012 is a wasteful number, since it uses less digits than its factorization.

12120022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15407 (or 15398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12120022012 its reverse (21022002121), we get a palindrome (33142024133).

The spelling of 12120022012 in words is "twelve billion, one hundred twenty million, twenty-two thousand, twelve".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 131 196 217 262 434 524 868 917 1519 1834 3038 3668 4061 6076 6419 8122 12838 15227 16244 25676 28427 30454 56854 60908 106589 113708 198989 213178 397978 426356 472037 746123 795956 944074 1492246 1888148 1994737 2984492 3304259 3989474 6608518 7978948 13217036 13963159 23129813 27926318 46259626 55852636 61836847 92519252 97742113 123673694 195484226 247347388 390968452 432857929 865715858 1731431716 3030005503 6060011006 12120022012