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122100020111100 = 223521375929580643
BaseRepresentation
bin11011110000110010100000…
…010100110110011011111100
3121000022122111100002222101210
4123300302200110312123330
5112000441320122023400
61111403550324004420
734501302215461533
oct3360624024663374
9530278440088353
10122100020111100
11359a5367236939
121183b975830710
135318ca06c2625
14222195b4d731a
15e1b17d4e1950
hex6f0ca05366fc

122100020111100 has 72 divisors (see below), whose sum is σ = 353301746129920. Its totient is φ = 32557637810880.

The previous prime is 122100020111081. The next prime is 122100020111131. The reversal of 122100020111100 is 1111020001221.

122100020111100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1221000201111002 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 10662622 + ... + 18918021.

Almost surely, 2122100020111100 is an apocalyptic number.

122100020111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100020111100 is an abundant number, since it is smaller than the sum of its proper divisors (231201726018820).

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

122100020111100 is a wasteful number, since it uses less digits than its factorization.

122100020111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29594419 (or 29594412 counting only the distinct ones).

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

Adding to 122100020111100 its reverse (1111020001221), we get a palindrome (123211040112321).

The spelling of 122100020111100 in words is "one hundred twenty-two trillion, one hundred billion, twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 13759 27518 41277 55036 68795 82554 137590 165108 206385 275180 343975 412770 687950 825540 1031925 1375900 2063850 4127700 29580643 59161286 88741929 118322572 147903215 177483858 295806430 354967716 443709645 591612860 739516075 887419290 1479032150 1774838580 2218548225 2958064300 4437096450 8874192900 407000067037 814000134074 1221000201111 1628000268148 2035000335185 2442000402222 4070000670370 4884000804444 6105001005555 8140001340740 10175001675925 12210002011110 20350003351850 24420004022220 30525005027775 40700006703700 61050010055550 122100020111100