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21000120120 = 2332573198951
BaseRepresentation
bin10011100011101101…
…000110011100111000
32000012112102122010200
4103203231012130320
5321002012320440
613351453242200
71342255035000
oct234355063470
960175378120
1021000120120
1189a7025081
1240a0a93360
131c989576a5
141033065000
1582d972c30
hex4e3b46738

21000120120 has 384 divisors, whose sum is σ = 83790720000. Its totient is φ = 4546886400.

The previous prime is 21000120079. The next prime is 21000120157. The reversal of 21000120120 is 2102100012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

21000120120 is a modest number, since divided by 120120 gives 21000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2341645 + ... + 2350595.

It is an arithmetic number, because the mean of its divisors is an integer number (218205000).

Almost surely, 221000120120 is an apocalyptic number.

21000120120 is a gapful number since it is divisible by the number (20) 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 21000120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41895360000).

21000120120 is an abundant number, since it is smaller than the sum of its proper divisors (62790599880).

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

21000120120 is a wasteful number, since it uses less digits than its factorization.

21000120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21000120120 its reverse (2102100012), we get a palindrome (23102220132).

The spelling of 21000120120 in words is "twenty-one billion, one hundred twenty thousand, one hundred twenty".