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122020111220100 = 22352599069678943
BaseRepresentation
bin11011101111101000000101…
…011000100111110110000100
3121000001000020100102201110020
4123233220011120213312010
5111443134141433020400
61111303133143055140
734462443051222042
oct3357500530476604
9530030210381406
10122020111220100
11359744907a9355
12118283944414b0
1353115a740a482
14221bb3a8b7392
15e1905301d2a0
hex6efa05627d84

122020111220100 has 72 divisors (see below), whose sum is σ = 353045964445440. Its totient is φ = 32538594084480.

The previous prime is 122020111220099. The next prime is 122020111220123. The reversal of 122020111220100 is 1022111020221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122020111220100.

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, 179381229 + ... + 180060171.

Almost surely, 2122020111220100 is an apocalyptic number.

122020111220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020111220100 is an abundant number, since it is smaller than the sum of its proper divisors (231025853225340).

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

122020111220100 is a wasteful number, since it uses less digits than its factorization.

122020111220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278029 (or 1278022 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122020111220100 its reverse (1022111020221), we get a palindrome (123042222240321).

The spelling of 122020111220100 in words is "one hundred twenty-two trillion, twenty billion, one hundred eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 599069 678943 1198138 1357886 1797207 2036829 2396276 2715772 2995345 3394715 3594414 4073658 5990690 6789430 7188828 8147316 8986035 10184145 11981380 13578860 14976725 16973575 17972070 20368290 29953450 33947150 35944140 40736580 44930175 50920725 59906900 67894300 89860350 101841450 179720700 203682900 406733704067 813467408134 1220201112201 1626934816268 2033668520335 2440402224402 4067337040670 4880804448804 6101005561005 8134674081340 10168342601675 12202011122010 20336685203350 24404022244020 30505027805025 40673370406700 61010055610050 122020111220100