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122101001101020 = 223543130736209617
BaseRepresentation
bin11011110000110011011010…
…110011000001111011011100
3121000022202000201000102120210
4123300303122303001323130
5112001000322240213040
61111404231530012420
734501335426655464
oct3360633263017334
9530282021012523
10122101001101020
11359a581aa56107
121183bbaa277110
1353190c8a04b36
142221a118d6ba4
15e1b1d96ba480
hex6f0cdacc1edc

122101001101020 has 96 divisors (see below), whose sum is σ = 350101237102848. Its totient is φ = 31778717709312.

The previous prime is 122101001100941. The next prime is 122101001101021. The reversal of 122101001101020 is 20101100101221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122101001100987 and 122101001101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101001101021) 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, 14732749 + ... + 21476868.

It is an arithmetic number, because the mean of its divisors is an integer number (3646887886488).

Almost surely, 2122101001101020 is an apocalyptic number.

122101001101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101001101020 is an abundant number, since it is smaller than the sum of its proper divisors (228000236001828).

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

122101001101020 is a wasteful number, since it uses less digits than its factorization.

122101001101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36210979 (or 36210977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122101001101020 its reverse (20101100101221), we get a palindrome (142202101202241).

The spelling of 122101001101020 in words is "one hundred twenty-two trillion, one hundred one billion, one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1307 2580 2614 3921 5228 6535 7842 13070 15684 19605 26140 39210 56201 78420 112402 168603 224804 281005 337206 562010 674412 843015 1124020 1686030 3372060 36209617 72419234 108628851 144838468 181048085 217257702 362096170 434515404 543144255 724192340 1086288510 1557013531 2172577020 3114027062 4671040593 6228054124 7785067655 9342081186 15570135310 18684162372 23355202965 31140270620 46710405930 47325969419 93420811860 94651938838 141977908257 189303877676 236629847095 283955816514 473259694190 567911633028 709889541285 946519388380 1419779082570 2035016685017 2839558165140 4070033370034 6105050055051 8140066740068 10175083425085 12210100110102 20350166850170 24420200220204 30525250275255 40700333700340 61050500550510 122101001101020