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12032201010120 = 23354127152117321
BaseRepresentation
bin1010111100010111011100…
…0100010010101111001000
31120121021012202221220102220
42233011313010102233020
53034113421424310440
641331303345254040
72351204105045334
oct257056704225710
946537182856386
1012032201010120
113919911878365
121423b07934320
13693829a7b025
142d850c4887c4
1515ceb9db58d0
hexaf177112bc8

12032201010120 has 256 divisors, whose sum is σ = 37186836341760. Its totient is φ = 3112611840000.

The previous prime is 12032201010097. The next prime is 12032201010127. The reversal of 12032201010120 is 2101010223021.

12032201010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120322010101202 (a number of 27 digits) contains 22 as substring.

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 12032201010120.

It is not an unprimeable number, because it can be changed into a prime (12032201010127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 694651060 + ... + 694668380.

It is an arithmetic number, because the mean of its divisors is an integer number (145261079460).

Almost surely, 212032201010120 is an apocalyptic number.

12032201010120 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 12032201010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18593418170880).

12032201010120 is an abundant number, since it is smaller than the sum of its proper divisors (25154635331640).

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

12032201010120 is a wasteful number, since it uses less digits than its factorization.

12032201010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18168 (or 18164 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12032201010120 its reverse (2101010223021), we get a palindrome (14133211233141).

The spelling of 12032201010120 in words is "twelve trillion, thirty-two billion, two hundred one million, ten thousand, one hundred twenty".