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1997080125120 = 263353143592939
BaseRepresentation
bin11101000011111011010…
…000000101111011000000
321001220210221120211122000
4131003323100011323000
5230210010003000440
64125240153544000
7264166335656223
oct35037320057300
97056727524560
101997080125120
116aaa58737653
1228306a115000
13116429655162
146c932b835ba
1536e369b4730
hex1d0fb405ec0

1997080125120 has 896 divisors, whose sum is σ = 7570354176000. Its totient is φ = 494689628160.

The previous prime is 1997080125119. The next prime is 1997080125121. The reversal of 1997080125120 is 215210807991.

It is an interprime number because it is at equal distance from previous prime (1997080125119) and next prime (1997080125121).

It is a super-2 number, since 2×19970801251202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1997080125121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 679508611 + ... + 679511549.

It is an arithmetic number, because the mean of its divisors is an integer number (8449056000).

Almost surely, 21997080125120 is an apocalyptic number.

1997080125120 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 1997080125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785177088000).

1997080125120 is an abundant number, since it is smaller than the sum of its proper divisors (5573274050880).

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

1997080125120 is a wasteful number, since it uses less digits than its factorization.

1997080125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 1997080125120 in words is "one trillion, nine hundred ninety-seven billion, eighty million, one hundred twenty-five thousand, one hundred twenty".