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121301202022002 = 23347223787272329
BaseRepresentation
bin11011100101001010100011…
…000011101010111001110010
3120220111021121022221112101000
4123211022203003222321302
5111344344330204201002
61105553000344022430
734356502602655062
oct3345124303527162
9526437538845330
10121301202022002
1135717607253312
1211730b9b161a16
13528b867575a22
1421d501c1133a2
15e054c8d6561c
hex6e52a30eae72

121301202022002 has 128 divisors (see below), whose sum is σ = 276880394649600. Its totient is φ = 39345779507328.

The previous prime is 121301202022001. The next prime is 121301202022031. The reversal of 121301202022002 is 200220202103121.

121301202022002 is a `hidden beast` number, since 12 + 130 + 120 + 202 + 200 + 2 = 666.

It is a super-2 number, since 2×1213012020220022 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121301202022001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445285374 + ... + 445557702.

It is an arithmetic number, because the mean of its divisors is an integer number (2163128083200).

Almost surely, 2121301202022002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121301202022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138440197324800).

121301202022002 is an abundant number, since it is smaller than the sum of its proper divisors (155579192627598).

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

121301202022002 is a wasteful number, since it uses less digits than its factorization.

121301202022002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273397 (or 273391 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121301202022002 its reverse (200220202103121), we get a palindrome (321521404125123).

The spelling of 121301202022002 in words is "one hundred twenty-one trillion, three hundred one billion, two hundred two million, twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 223 282 423 446 669 787 846 1269 1338 1574 2007 2361 2538 4014 4722 6021 7083 10481 12042 14166 20962 21249 31443 36989 42498 62886 73978 94329 110967 175501 188658 221934 272329 282987 332901 351002 526503 544658 565974 665802 816987 998703 1053006 1579509 1633974 1997406 2450961 3159018 4738527 4901922 7352883 8248547 9477054 12799463 14705766 16497094 24745641 25598926 38398389 49491282 60729367 74236923 76796778 115195167 121458734 148473846 182188101 214322923 222710769 230390334 345585501 364376202 428645846 445421538 546564303 642968769 691171002 1093128606 1285937538 1639692909 1928906307 2854280249 3279385818 3857812614 5708560498 5786718921 8562840747 10073177381 11573437842 17125681494 20146354762 25688522241 30219532143 47794011829 51377044482 60439064286 77065566723 90658596429 95588023658 143382035487 154131133446 181317192858 271975789287 286764070974 430146106461 543951578574 860292212922 1290438319383 2246318555963 2580876638766 4492637111926 6738955667889 13477911335778 20216867003667 40433734007334 60650601011001 121301202022002