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122110200020100 = 223523111308790997
BaseRepresentation
bin11011110000111011111111…
…000110000111110010000100
3121000100121202210101221021110
4123300323333012013302010
5112001123142201120400
61111412352414445020
734502112406332525
oct3360737706076204
9530317683357243
10122110200020100
11359a9710561176
1211841936b03770
135319c33751416
1422222454cc84c
15e1b57708ae50
hex6f0eff187c84

122110200020100 has 72 divisors (see below), whose sum is σ = 354441542914368. Its totient is φ = 32458016700800.

The previous prime is 122110200020099. The next prime is 122110200020101. The reversal of 122110200020100 is 1020002011221.

It is an interprime number because it is at equal distance from previous prime (122110200020099) and next prime (122110200020101).

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

It is not an unprimeable number, because it can be changed into a prime (122110200020101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654302199 + ... + 654488798.

It is an arithmetic number, because the mean of its divisors is an integer number (4922799207144).

Almost surely, 2122110200020100 is an apocalyptic number.

122110200020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110200020100 is an abundant number, since it is smaller than the sum of its proper divisors (232331342894268).

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

122110200020100 is a wasteful number, since it uses less digits than its factorization.

122110200020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308791325 (or 1308791318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122110200020100 its reverse (1020002011221), we get a palindrome (123130202031321).

It can be divided in two parts, 12 and 2110200020100, that added together give a palindrome (2110200020112).

The spelling of 122110200020100 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 311 622 933 1244 1555 1866 3110 3732 4665 6220 7775 9330 15550 18660 23325 31100 46650 93300 1308790997 2617581994 3926372991 5235163988 6543954985 7852745982 13087909970 15705491964 19631864955 26175819940 32719774925 39263729910 65439549850 78527459820 98159324775 130879099700 196318649550 392637299100 407034000067 814068000134 1221102000201 1628136000268 2035170000335 2442204000402 4070340000670 4884408000804 6105510001005 8140680001340 10175850001675 12211020002010 20351700003350 24422040004020 30527550005025 40703400006700 61055100010050 122110200020100