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120020012121210 = 235412711163309599
BaseRepresentation
bin11011010010100001010110…
…001100000011110001111010
3120201221210122000010010100220
4123102201112030003301322
5111212401441100334320
61103132233222040510
734165105533333645
oct3322412614036172
9521853560103326
10120020012121210
1135273223a22063
1211564823279136
1351c7ab9489806
14218cddcbcca5c
15dd1ee14b7e40
hex6d2856303c7a

120020012121210 has 128 divisors (see below), whose sum is σ = 296418034483200. Its totient is φ = 31082648486400.

The previous prime is 120020012121181. The next prime is 120020012121227. The reversal of 120020012121210 is 12121210020021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120020012121210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387507991 + ... + 387817589.

It is an arithmetic number, because the mean of its divisors is an integer number (2315765894400).

Almost surely, 2120020012121210 is an apocalyptic number.

120020012121210 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 120020012121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148209017241600).

120020012121210 is an abundant number, since it is smaller than the sum of its proper divisors (176398022361990).

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

120020012121210 is a wasteful number, since it uses less digits than its factorization.

120020012121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311084.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120020012121210 its reverse (12121210020021), we get a palindrome (132141222141231).

The spelling of 120020012121210 in words is "one hundred twenty trillion, twenty billion, twelve million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1163 1230 1355 1626 2326 2710 3489 4065 5815 6978 8130 11111 11630 17445 22222 33333 34890 47683 55555 66666 95366 111110 143049 166665 238415 286098 309599 315173 333330 476830 619198 630346 715245 928797 945519 1430490 1547995 1575865 1857594 1891038 3095990 3151730 4643985 4727595 9287970 9455190 12693559 12922093 25387118 25844186 38080677 38766279 63467795 64610465 76161354 77532558 83901329 126935590 129220930 167802658 190403385 193831395 251703987 360063637 380806770 387662790 419506645 503407974 720127274 839013290 1080190911 1258519935 1800318185 2160381822 2517039870 3439954489 3600636370 5400954555 6879908978 10319863467 10801909110 14762609117 17199772445 20639726934 29525218234 34399544890 44287827351 51599317335 73813045585 88575654702 97577245627 103198634670 147626091170 195154491254 221439136755 292731736881 442878273510 487886228135 585463473762 975772456270 1463658684405 2927317368810 4000667070707 8001334141414 12002001212121 20003335353535 24004002424242 40006670707070 60010006060605 120020012121210