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12277888920 = 2332511171929331
BaseRepresentation
bin10110110111101000…
…11011011110011000
31011200200000101021200
423123310123132120
5200121114421140
65350153434200
7613154222343
oct133364333630
934620011250
1012277888920
115230603740
122467a0b960
1312088c033b
148468b745a
154bcd63030
hex2dbd1b798

12277888920 has 768 divisors, whose sum is σ = 50341824000. Its totient is φ = 2554675200.

The previous prime is 12277888919. The next prime is 12277888927. The reversal of 12277888920 is 2988877221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12277888927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37093155 + ... + 37093485.

It is an arithmetic number, because the mean of its divisors is an integer number (65549250).

Almost surely, 212277888920 is an apocalyptic number.

12277888920 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 12277888920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25170912000).

12277888920 is an abundant number, since it is smaller than the sum of its proper divisors (38063935080).

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

12277888920 is a wasteful number, since it uses less digits than its factorization.

12277888920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 12277888920 in words is "twelve billion, two hundred seventy-seven million, eight hundred eighty-eight thousand, nine hundred twenty".