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12120022500 = 2235417234133
BaseRepresentation
bin10110100100110100…
…01101110111100100
31011021122221221021020
423102122031313210
5144310211210000
65322354051140
7606226330365
oct132232156744
934248857236
1012120022500
11515a489323
122422b79ab0
1311b1c98a61
1482d941b6c
154ae07cba0
hex2d268dde4

12120022500 has 240 divisors, whose sum is σ = 39053798784. Its totient is φ = 2908928000.

The previous prime is 12120022471. The next prime is 12120022507. The reversal of 12120022500 is 522002121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12120022500.

It is not an unprimeable number, because it can be changed into a prime (12120022507) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2930434 + ... + 2934566.

Almost surely, 212120022500 is an apocalyptic number.

12120022500 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 12120022500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19526899392).

12120022500 is an abundant number, since it is smaller than the sum of its proper divisors (26933776284).

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

12120022500 is a wasteful number, since it uses less digits than its factorization.

12120022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 12120022500 its reverse (522002121), we get a palindrome (12642024621).

The spelling of 12120022500 in words is "twelve billion, one hundred twenty million, twenty-two thousand, five hundred".