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1020122130000 = 2435434004071
BaseRepresentation
bin11101101100001000000…
…01000110011001010000
310121112010001202112121010
432312010001012121100
5113203202231130000
62100345421330520
7133462402015041
oct16660401063120
93545101675533
101020122130000
113636a4390aa6
12145858a06a40
1375274064a3c
1437534a408c8
151b8080a8d50
hexed84046650

1020122130000 has 100 divisors (see below), whose sum is σ = 3293090348768. Its totient is φ = 272032560000.

The previous prime is 1020122129981. The next prime is 1020122130019. The reversal of 1020122130000 is 312210201.

It is an interprime number because it is at equal distance from previous prime (1020122129981) and next prime (1020122130019).

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 16972036 + ... + 17032035.

Almost surely, 21020122130000 is an apocalyptic number.

1020122130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020122130000 is an abundant number, since it is smaller than the sum of its proper divisors (2272968218768).

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

1020122130000 is an equidigital number, since it uses as much as digits as its factorization.

1020122130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34004102 (or 34004081 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1020122130000 its reverse (312210201), we get a palindrome (1020434340201).

The spelling of 1020122130000 in words is "one trillion, twenty billion, one hundred twenty-two million, one hundred thirty 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 34004071 68008142 102012213 136016284 170020355 204024426 272032568 340040710 408048852 510061065 544065136 680081420 816097704 850101775 1020122130 1360162840 1632195408 1700203550 2040244260 2550305325 2720325680 3400407100 4080488520 4250508875 5100610650 6800814200 8160977040 8501017750 10201221300 12751526625 13601628400 17002035500 20402442600 21252544375 25503053250 34004071000 40804885200 42505088750 51006106500 63757633125 68008142000 85010177500 102012213000 127515266250 170020355000 204024426000 255030532500 340040710000 510061065000 1020122130000