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120002010000 = 243544000067
BaseRepresentation
bin110111111000010101…
…1010101101110010000
3102110202010221201200220
41233300223111232100
53431231003310000
6131043403313040
711445522153315
oct1576053255620
9373663851626
10120002010000
1146990008284
121b31051b780
13b41573c212
145b4570ad0c
1531c52511a0
hex1bf0ad5b90

120002010000 has 100 divisors (see below), whose sum is σ = 387382585392. Its totient is φ = 32000528000.

The previous prime is 120002009969. The next prime is 120002010067. The reversal of 120002010000 is 10200021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×1200020100003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1970034 + ... + 2030033.

Almost surely, 2120002010000 is an apocalyptic number.

120002010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120002010000 is an abundant number, since it is smaller than the sum of its proper divisors (267380575392).

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

120002010000 is an equidigital number, since it uses as much as digits as its factorization.

120002010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000098 (or 4000077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 120002010000 its reverse (10200021), we get a palindrome (120012210021).

The spelling of 120002010000 in words is "one hundred twenty billion, two million, ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 4000067 8000134 12000201 16000268 20000335 24000402 32000536 40000670 48000804 60001005 64001072 80001340 96001608 100001675 120002010 160002680 192003216 200003350 240004020 300005025 320005360 400006700 480008040 500008375 600010050 800013400 960016080 1000016750 1200020100 1500025125 1600026800 2000033500 2400040200 2500041875 3000050250 4000067000 4800080400 5000083750 6000100500 7500125625 8000134000 10000167500 12000201000 15000251250 20000335000 24000402000 30000502500 40000670000 60001005000 120002010000