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121315572 = 22327297709
BaseRepresentation
bin1110011101100…
…10000011110100
322110021110200100
413032302003310
5222024044242
620012114100
73002110500
oct716620364
9273243610
10121315572
1162530204
1234765930
131c197981
141217d300
15a9b554c
hex73b20f4

121315572 has 108 divisors (see below), whose sum is σ = 360911460. Its totient is φ = 34255872.

The previous prime is 121315567. The next prime is 121315577. The reversal of 121315572 is 275513121.

It is an interprime number because it is at equal distance from previous prime (121315567) and next prime (121315577).

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 87721956 = 5796^2 + 9366^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121315577) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170754 + ... + 171462.

Almost surely, 2121315572 is an apocalyptic number.

121315572 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 121315572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180455730).

121315572 is an abundant number, since it is smaller than the sum of its proper divisors (239595888).

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

121315572 is a wasteful number, since it uses less digits than its factorization.

121315572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 818 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 121315572 is about 11014.3348414691. The cubic root of 121315572 is about 495.0383563789.

Adding to 121315572 its reverse (275513121), we get a palindrome (396828693).

The spelling of 121315572 in words is "one hundred twenty-one million, three hundred fifteen thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 97 98 126 147 194 196 252 291 294 388 441 582 588 679 709 873 882 1164 1358 1418 1746 1764 2037 2127 2716 2836 3492 4074 4254 4753 4963 6111 6381 8148 8508 9506 9926 12222 12762 14259 14889 19012 19852 24444 25524 28518 29778 34741 42777 44667 57036 59556 68773 69482 85554 89334 104223 137546 138964 171108 178668 206319 208446 275092 312669 412638 416892 481411 618957 625338 825276 962822 1237914 1250676 1444233 1925644 2475828 2888466 3369877 4332699 5776932 6739754 8665398 10109631 13479508 17330796 20219262 30328893 40438524 60657786 121315572