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121213001223210 = 235131672118820347
BaseRepresentation
bin11011100011111000011001…
…111000010100110000101010
3120220011211221110120201022110
4123203320121320110300222
5111341423211303120320
61105444252314503150
734350231111361101
oct3343703170246052
9526154843521273
10121213001223210
11356931661a0776
1211717a84a34ab6
13528344c424060
1421d0a52161038
15e030659355e0
hex6e3e19e14c2a

121213001223210 has 128 divisors (see below), whose sum is σ = 316658678482944. Its totient is φ = 29517817109760.

The previous prime is 121213001223199. The next prime is 121213001223253. The reversal of 121213001223210 is 12322100312121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9332257 + ... + 18152603.

It is an arithmetic number, because the mean of its divisors is an integer number (2473895925648).

Almost surely, 2121213001223210 is an apocalyptic number.

121213001223210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121213001223210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158329339241472).

121213001223210 is an abundant number, since it is smaller than the sum of its proper divisors (195445677259734).

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

121213001223210 is a wasteful number, since it uses less digits than its factorization.

121213001223210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8820748.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 121213001223210 its reverse (12322100312121), we get a palindrome (133535101535331).

The spelling of 121213001223210 in words is "one hundred twenty-one trillion, two hundred thirteen billion, one million, two hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 167 195 211 334 390 422 501 633 835 1002 1055 1266 1670 2110 2171 2505 2743 3165 4342 5010 5486 6330 6513 8229 10855 13026 13715 16458 21710 27430 32565 35237 41145 65130 70474 82290 105711 176185 211422 352370 458081 528555 916162 1057110 1374243 2290405 2748486 4580810 6871215 8820347 13742430 17640694 26461041 44101735 52922082 88203470 114664511 132305205 229329022 264610410 343993533 573322555 687987066 1146645110 1472997949 1719967665 1861093217 2945995898 3439935330 3722186434 4418993847 5583279651 7364989745 8837987694 9305466085 11166559302 14729979490 18610932170 19148973337 22094969235 24194211821 27916398255 38297946674 44189938470 48388423642 55832796510 57446920011 72582635463 95744866685 114893840022 120971059105 145165270926 191489733370 241942118210 287234600055 310802567239 362913177315 574469200110 621605134478 725826354630 932407701717 1554012836195 1864815403434 3108025672390 4040433374107 4662038508585 8080866748214 9324077017170 12121300122321 20202166870535 24242600244642 40404333741070 60606500611605 121213001223210