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122012100022212 = 2232229116891266157
BaseRepresentation
bin11011101111100000100111…
…111000010100111111000100
3121000000020120000221200221100
4123233200213320110333010
5111443021240101202322
61111255330203220100
734462040403163011
oct3357404770247704
9530006500850840
10122012100022212
113597104a682854
1211826919517630
1353108cb7764aa
14221b5ba936708
15e18c34a5edac
hex6ef827e14fc4

122012100022212 has 72 divisors (see below), whose sum is σ = 309793030328600. Its totient is φ = 40489602513408.

The previous prime is 122012100022181. The next prime is 122012100022237. The reversal of 122012100022212 is 212220001210221.

It is a happy number.

122012100022212 is a `hidden beast` number, since 1 + 220 + 1 + 210 + 0 + 0 + 22 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79276514757696 + 42735585264516 = 8903736^2 + 6537246^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 95731038 + ... + 96997194.

Almost surely, 2122012100022212 is an apocalyptic number.

122012100022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122012100022212 is an abundant number, since it is smaller than the sum of its proper divisors (187780930306388).

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

122012100022212 is a wasteful number, since it uses less digits than its factorization.

122012100022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278085 (or 1278080 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122012100022212 its reverse (212220001210221), we get a palindrome (334232101232433).

The spelling of 122012100022212 in words is "one hundred twenty-two trillion, twelve billion, one hundred million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 11689 23378 35067 46756 70134 105201 140268 210402 420804 1266157 2532314 2676781 3798471 5064628 5353562 7596942 8030343 10707124 11395413 15193884 16060686 22790826 24091029 32121372 45581652 48182058 96364116 289949953 579899906 869849859 1159799812 1739699718 2609549577 3479399436 5219099154 10438198308 14800109173 29600218346 44400327519 59200436692 88800655038 133200982557 177601310076 266401965114 532803930228 3389225000617 6778450001234 10167675001851 13556900002468 20335350003702 30503025005553 40670700007404 61006050011106 122012100022212