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12102420120 = 23357191933929
BaseRepresentation
bin10110100010101110…
…00100011010011000
31011020102211122100020
423101113010122120
5144241204420440
65320524510440
7605623605450
oct132127043230
934212748306
1012102420120
1151505563aa
1224190ab420
1311ab444a4b
1482b47cd60
154ac7523d0
hex2d15c4698

12102420120 has 256 divisors, whose sum is σ = 43915392000. Its totient is φ = 2606432256.

The previous prime is 12102420107. The next prime is 12102420131. The reversal of 12102420120 is 2102420121.

It is a Cunningham number, because it is equal to 1100112-1.

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 12102420120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3078316 + ... + 3082244.

It is an arithmetic number, because the mean of its divisors is an integer number (171544500).

Almost surely, 212102420120 is an apocalyptic number.

12102420120 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 12102420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21957696000).

12102420120 is an abundant number, since it is smaller than the sum of its proper divisors (31812971880).

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

12102420120 is a wasteful number, since it uses less digits than its factorization.

12102420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12102420120 its reverse (2102420121), we get a palindrome (14204840241).

Subtracting from 12102420120 its reverse (2102420121), we obtain a palindrome (9999999999).

The spelling of 12102420120 in words is "twelve billion, one hundred two million, four hundred twenty thousand, one hundred twenty".