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123000021003220 = 22523795505161483
BaseRepresentation
bin11011111101111000101100…
…100011110010101111010100
3121010111200112221120101101121
4123331320230203302233110
5112110213020334100340
61113333232442333324
734623313120026154
oct3375705443625724
9533450487511347
10123000021003220
113621201a285a19
121196628a1ba244
135382b104017ca
142253338a72764
15e347a5b4794a
hex6fde2c8f2bd4

123000021003220 has 96 divisors (see below), whose sum is σ = 272951656427520. Its totient is φ = 46463570524800.

The previous prime is 123000021003191. The next prime is 123000021003229. The reversal of 123000021003220 is 22300120000321.

It is a super-2 number, since 2×1230000210032202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123000021003194 and 123000021003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123000021003229) 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, 2000522599 + ... + 2000584081.

It is an arithmetic number, because the mean of its divisors is an integer number (2843246421120).

Almost surely, 2123000021003220 is an apocalyptic number.

123000021003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123000021003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136475828213760).

123000021003220 is an abundant number, since it is smaller than the sum of its proper divisors (149951635424300).

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

123000021003220 is a wasteful number, since it uses less digits than its factorization.

123000021003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116645 (or 116643 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 123000021003220 its reverse (22300120000321), we get a palindrome (145300141003541).

The spelling of 123000021003220 in words is "one hundred twenty-three trillion, twenty-one million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 158 230 316 395 460 790 1580 1817 3634 7268 9085 18170 36340 55051 61483 110102 122966 220204 245932 275255 307415 550510 614830 1101020 1229660 1266173 1414109 2532346 2828218 4349029 4857157 5064692 5656436 6330865 7070545 8698058 9714314 12661730 14141090 17396116 19428628 21745145 24285785 25323460 28282180 43490290 48571570 86980580 97143140 100027667 111714611 200055334 223429222 400110668 446858444 500138335 558573055 1000276670 1117146110 2000553340 2234292220 3384700633 6769401266 13538802532 16923503165 33847006330 67694012660 77848114559 155696229118 267391350007 311392458236 389240572795 534782700014 778481145590 1069565400028 1336956750035 1556962291180 2673913500070 5347827000140 6150001050161 12300002100322 24600004200644 30750005250805 61500010501610 123000021003220