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124210000000 = 275712421
BaseRepresentation
bin111001110101101111…
…1100011000010000000
3102212121102000202210101
41303223133203002000
54013340230000000
6133021123212144
711655016402612
oct1635337430200
9385542022711
10124210000000
114874a341469
12200a5817054
13b936484928
146024522db2
15336e8ace6a
hex1ceb7e3080

124210000000 has 128 divisors (see below), whose sum is σ = 309336122160. Its totient is φ = 49680000000.

The previous prime is 124209999973. The next prime is 124210000027. The reversal of 124210000000 is 12421.

124210000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (124209999973) and next prime (124210000027).

It can be written as a sum of positive squares in 8 ways, for example, as 85577311296 + 38632688704 = 292536^2 + 196552^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9993790 + ... + 10006210.

Almost surely, 2124210000000 is an apocalyptic number.

124210000000 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 124210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154668061080).

124210000000 is an abundant number, since it is smaller than the sum of its proper divisors (185126122160).

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

124210000000 is an frugal number, since it uses more digits than its factorization.

124210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12470 (or 12428 counting only the distinct ones).

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

Adding to 124210000000 its reverse (12421), we get a palindrome (124210012421).

124210000000 divided by its reverse (12421) gives a 7-th power (10000000 = 107).

The spelling of 124210000000 in words is "one hundred twenty-four billion, two hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12421 12500 15625 16000 20000 24842 25000 31250 40000 49684 50000 62105 62500 78125 80000 99368 100000 124210 125000 156250 198736 200000 248420 250000 310525 312500 397472 400000 496840 500000 621050 625000 794944 993680 1000000 1242100 1250000 1552625 1589888 1987360 2000000 2484200 2500000 3105250 3974720 4968400 5000000 6210500 7763125 7949440 9936800 10000000 12421000 15526250 19873600 24842000 31052500 38815625 39747200 49684000 62105000 77631250 99368000 124210000 155262500 194078125 198736000 248420000 310525000 388156250 496840000 621050000 776312500 970390625 993680000 1242100000 1552625000 1940781250 2484200000 3105250000 3881562500 4968400000 6210500000 7763125000 12421000000 15526250000 24842000000 31052500000 62105000000 124210000000