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122103012010220 = 225237329423123583
BaseRepresentation
bin11011110000110101010010…
…101010000010100011101100
3121000022221012211220012102022
4123300311102222002203230
5112001013432033311340
61111405203242445312
734501436315264513
oct3360652252024354
9530287184805368
10122103012010220
11359a6662073a3a
121184046b803838
1353193594cb837
142221b629d167a
15e1b2a5ed53b5
hex6f0d52a828ec

122103012010220 has 96 divisors (see below), whose sum is σ = 271241546268672. Its totient is φ = 46075767141888.

The previous prime is 122103012010201. The next prime is 122103012010223. The reversal of 122103012010220 is 22010210301221.

It is not an unprimeable number, because it can be changed into a prime (122103012010223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987962549 + ... + 988086131.

It is an arithmetic number, because the mean of its divisors is an integer number (2825432773632).

Almost surely, 2122103012010220 is an apocalyptic number.

122103012010220 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 122103012010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135620773134336).

122103012010220 is an abundant number, since it is smaller than the sum of its proper divisors (149138534258452).

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

122103012010220 is a wasteful number, since it uses less digits than its factorization.

122103012010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153111 (or 153109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122103012010220 its reverse (22010210301221), we get a palindrome (144113222311441).

The spelling of 122103012010220 in words is "one hundred twenty-two trillion, one hundred three billion, twelve million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 460 730 1460 1679 3358 6716 8395 16790 29423 33580 58846 117692 123583 147115 247166 294230 494332 588460 617915 676729 1235830 1353458 2147879 2471660 2706916 2842409 3383645 4295758 5684818 6767290 8591516 9021559 10739395 11369636 13534580 14212045 18043118 21478790 28424090 36086236 42957580 45107795 49401217 56848180 90215590 98802434 180431180 197604868 207495857 247006085 414991714 494012170 829983428 988024340 1037479285 2074958570 3636182609 4149917140 7272365218 14544730436 18180913045 36361826090 72723652180 83632200007 167264400014 265441330457 334528800028 418161000035 530882660914 836322000070 1061765321828 1327206652285 1672644000140 2654413304570 5308826609140 6105150600511 12210301201022 24420602402044 30525753002555 61051506005110 122103012010220