Search a number
-
+
12372402420 = 223257231313259
BaseRepresentation
bin10111000010111001…
…11110000011110100
31011221020212011102200
423201130332003310
5200314313334140
65403411304500
7615412454040
oct134134760364
934836764380
1012372402420
115279998074
1224935ab130
1312223627a1
1485527b020
154c62d2030
hex2e173e0f4

12372402420 has 288 divisors, whose sum is σ = 45111306240. Its totient is φ = 2683549440.

The previous prime is 12372402407. The next prime is 12372402457. The reversal of 12372402420 is 2420427321.

12372402420 is a `hidden beast` number, since 1 + 237 + 2 + 4 + 0 + 2 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3794751 + ... + 3798009.

It is an arithmetic number, because the mean of its divisors is an integer number (156636480).

Almost surely, 212372402420 is an apocalyptic number.

12372402420 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 12372402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22555653120).

12372402420 is an abundant number, since it is smaller than the sum of its proper divisors (32738903820).

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

12372402420 is a wasteful number, since it uses less digits than its factorization.

12372402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 12372402420 its reverse (2420427321), we get a palindrome (14792829741).

The spelling of 12372402420 in words is "twelve billion, three hundred seventy-two million, four hundred two thousand, four hundred twenty".