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10121111221212 = 2233973919246523
BaseRepresentation
bin1001001101001000000100…
…1111010011001111011100
31022211120100122100202021000
42103102001033103033130
52311311013433034322
633305324014510300
72063140366626555
oct223220117231734
938746318322230
1010121111221212
113252380478082
121175657805390
13585555621c24
1426dc15c9532c
151284177493ac
hex934813d33dc

10121111221212 has 96 divisors (see below), whose sum is σ = 26517304755200. Its totient is φ = 3338057765376.

The previous prime is 10121111221211. The next prime is 10121111221259. The reversal of 10121111221212 is 21212211112101.

It is a happy number.

10121111221212 is a `hidden beast` number, since 1 + 0 + 121 + 111 + 221 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121111221211) 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, 40932183 + ... + 41178705.

Almost surely, 210121111221212 is an apocalyptic number.

10121111221212 is a gapful number since it is divisible by the number (12) 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 10121111221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258652377600).

10121111221212 is an abundant number, since it is smaller than the sum of its proper divisors (16396193533988).

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

10121111221212 is a wasteful number, since it uses less digits than its factorization.

10121111221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250552 (or 250544 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10121111221212 its reverse (21212211112101), we get a palindrome (31333322333313).

The spelling of 10121111221212 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1746 2619 3492 3919 5238 7838 10476 11757 15676 23514 35271 47028 70542 105813 141084 211626 246523 380143 423252 493046 739569 760286 986092 1140429 1479138 1520572 2218707 2280858 2958276 3421287 4437414 4561716 6656121 6842574 8874828 10263861 13312242 13685148 20527722 23912731 26624484 41055444 47825462 71738193 95650924 143476386 215214579 286952772 430429158 645643737 860858316 966123637 1291287474 1932247274 2582574948 2898370911 3864494548 5796741822 8695112733 11593483644 17390225466 26085338199 34780450932 52170676398 93713992789 104341352796 187427985578 281141978367 374855971156 562283956734 843425935101 1124567913468 1686851870202 2530277805303 3373703740404 5060555610606 10121111221212