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12022908480 = 2632511234501
BaseRepresentation
bin10110011001001111…
…10000011001000000
31011000220020000212200
423030213300121000
5144110331032410
65305004353200
7603640015212
oct131447603100
934026200780
1012022908480
11510a689100
1223b6545800
131197b25a3b
14820aa25b2
154a57983c0
hex2cc9f0640

12022908480 has 252 divisors, whose sum is σ = 45456315996. Its totient is φ = 2914560000.

The previous prime is 12022908389. The next prime is 12022908533. The reversal of 12022908480 is 8480922021.

It can be written as a sum of positive squares in 2 ways, for example, as 5581882944 + 6441025536 = 74712^2 + 80256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331230 + ... + 365730.

Almost surely, 212022908480 is an apocalyptic number.

12022908480 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 12022908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22728157998).

12022908480 is an abundant number, since it is smaller than the sum of its proper divisors (33433407516).

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

12022908480 is a wasteful number, since it uses less digits than its factorization.

12022908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34546 (or 34522 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12022908480 in words is "twelve billion, twenty-two million, nine hundred eight thousand, four hundred eighty".