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20120122000 = 2453112711171
BaseRepresentation
bin10010101111010000…
…001011001010010000
31220221012120002122201
4102233100023022100
5312201222401000
613124300012544
71311411133546
oct225720131220
956835502581
1020120122000
118595314500
123a96231154
131b88545244
14d8c233d96
157cb59796a
hex4af40b290

20120122000 has 240 divisors, whose sum is σ = 54274776192. Its totient is φ = 7207200000.

The previous prime is 20120121949. The next prime is 20120122021. The reversal of 20120122000 is 22102102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17181415 + ... + 17182585.

Almost surely, 220120122000 is an apocalyptic number.

20120122000 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 20120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27137388096).

20120122000 is an abundant number, since it is smaller than the sum of its proper divisors (34154654192).

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

20120122000 is a wasteful number, since it uses less digits than its factorization.

20120122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20120122000 its reverse (22102102), we get a palindrome (20142224102).

The spelling of 20120122000 in words is "twenty billion, one hundred twenty million, one hundred twenty-two thousand".