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122131331122000 = 2453244291249971
BaseRepresentation
bin11011110001001111101010…
…100110111000001101010000
3121000102122022110022010122011
4123301033222212320031100
5112001444431231401000
61111430205311352304
734503461144620564
oct3361175246701520
9530378273263564
10122131331122000
1135a07674508852
1211845a53822694
13531bc20579405
14222328bacb6a4
15e1bdb22832ba
hex6f13ea9b8350

122131331122000 has 80 divisors (see below), whose sum is σ = 295315948908864. Its totient is φ = 48852137040000.

The previous prime is 122131331121983. The next prime is 122131331122039. The reversal of 122131331122000 is 221133131221.

122131331122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 488457015 + ... + 488706985.

Almost surely, 2122131331122000 is an apocalyptic number.

122131331122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131331122000 is an abundant number, since it is smaller than the sum of its proper divisors (173184617786864).

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

122131331122000 is a wasteful number, since it uses less digits than its factorization.

122131331122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494285 (or 494269 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 122131331122000 its reverse (221133131221), we get a palindrome (122352464253221).

The spelling of 122131331122000 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred thirty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 244291 249971 488582 499942 977164 999884 1221455 1249855 1954328 1999768 2442910 2499710 3908656 3999536 4885820 4999420 6107275 6249275 9771640 9998840 12214550 12498550 19543280 19997680 24429100 24997100 30536375 31246375 48858200 49994200 61072750 62492750 97716400 99988400 122145500 124985500 244291000 249971000 488582000 499942000 61065665561 122131331122 244262662244 305328327805 488525324488 610656655610 977050648976 1221313311220 1526641639025 2442626622440 3053283278050 4885253244880 6106566556100 7633208195125 12213133112200 15266416390250 24426266224400 30532832780500 61065665561000 122131331122000