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123211023234140 = 225232112387953161
BaseRepresentation
bin11100000000111101001101…
…010001011011010001011100
3121011020212012001111022101002
4130000331031101123101130
5112122142133421443030
61114014210200405432
734644463005300152
oct3400751521332134
9534225161438332
10123211023234140
1136293557569046
121199b156476878
135399998c4989a
14225d6340453d2
15e3a004e4c245
hex700f4d45b45c

123211023234140 has 96 divisors (see below), whose sum is σ = 271288901237760. Its totient is φ = 46915341580800.

The previous prime is 123211023234137. The next prime is 123211023234193. The reversal of 123211023234140 is 41432320112321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2317669160 + ... + 2317722320.

It is an arithmetic number, because the mean of its divisors is an integer number (2825926054560).

Almost surely, 2123211023234140 is an apocalyptic number.

123211023234140 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 123211023234140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135644450618880).

123211023234140 is an abundant number, since it is smaller than the sum of its proper divisors (148077878003620).

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

123211023234140 is a wasteful number, since it uses less digits than its factorization.

123211023234140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77283 (or 77281 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 123211023234140 its reverse (41432320112321), we get a palindrome (164643343346461).

The spelling of 123211023234140 in words is "one hundred twenty-three trillion, two hundred eleven billion, twenty-three million, two hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 211 230 422 460 844 1055 2110 4220 4853 9706 19412 23879 24265 47758 48530 53161 95516 97060 106322 119395 212644 238790 265805 477580 531610 549217 1063220 1098434 1222703 2196868 2445406 2746085 4890812 5038469 5492170 6113515 10076938 10984340 11216971 12227030 20153876 22433942 24454060 25192345 44867884 50384690 56084855 100769380 112169710 115884787 224339420 231769574 257990333 463539148 515980666 579423935 1031961332 1158847870 1269431519 1289951665 2317695740 2538863038 2579903330 5077726076 5159806660 6347157595 12694315190 25388630380 29196924937 58393849874 116787699748 145984624685 267850050509 291969249370 535700101018 583938498740 1071400202036 1339250252545 2678500505090 5357001010180 6160551161707 12321102323414 24642204646828 30802755808535 61605511617070 123211023234140