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1232112132 = 2232711792693
BaseRepresentation
bin100100101110000…
…1000101000000100
310011212102210002200
41021130020220010
510010410042012
6322132234500
742350531436
oct11134105004
93155383080
101232112132
1158254a099
122a476ba30
13168358944
14b98cc656
15732803dc
hex49708a04

1232112132 has 72 divisors (see below), whose sum is σ = 3177195840. Its totient is φ = 402507840.

The previous prime is 1232112127. The next prime is 1232112137. The reversal of 1232112132 is 2312112321.

It is an interprime number because it is at equal distance from previous prime (1232112127) and next prime (1232112137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1232112137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456178 + ... + 458870.

It is an arithmetic number, because the mean of its divisors is an integer number (44127720).

Almost surely, 21232112132 is an apocalyptic number.

1232112132 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 1232112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588597920).

1232112132 is an abundant number, since it is smaller than the sum of its proper divisors (1945083708).

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

1232112132 is a wasteful number, since it uses less digits than its factorization.

1232112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2948 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1232112132 is about 35101.4548416444. The cubic root of 1232112132 is about 1072.0542049984.

Adding to 1232112132 its reverse (2312112321), we get a palindrome (3544224453).

The spelling of 1232112132 in words is "one billion, two hundred thirty-two million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 179 213 284 358 426 537 639 716 852 1074 1278 1611 2148 2556 2693 3222 5386 6444 8079 10772 12709 16158 24237 25418 32316 38127 48474 50836 76254 96948 114381 152508 191203 228762 382406 457524 482047 573609 764812 964094 1147218 1446141 1720827 1928188 2294436 2892282 3441654 4338423 5784564 6883308 8676846 17353692 34225337 68450674 102676011 136901348 205352022 308028033 410704044 616056066 1232112132