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122120111122002 = 232712713954903259
BaseRepresentation
bin11011110001000101001101…
…110101111110011001010010
3121000101120100111220002010200
4123301011031311332121102
5112001303441421401002
61111421112104040030
734502613124321410
oct3361051565763122
9530346314802120
10122120111122002
1135a02937077784
1211843842163016
13531ab52bb4366
1422229059102b0
15e1b957238b1c
hex6f114dd7e652

122120111122002 has 96 divisors (see below), whose sum is σ = 306966322790400. Its totient is φ = 34367682603744.

The previous prime is 122120111121913. The next prime is 122120111122049. The reversal of 122120111122002 is 200221111021221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25227352 + ... + 29675907.

It is an arithmetic number, because the mean of its divisors is an integer number (3197565862400).

Almost surely, 2122120111122002 is an apocalyptic number.

122120111122002 is an abundant number, since it is smaller than the sum of its proper divisors (184846211668398).

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

122120111122002 is a wasteful number, since it uses less digits than its factorization.

122120111122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54903540 (or 54903537 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122120111122002 its reverse (200221111021221), we get a palindrome (322341222143223).

The spelling of 122120111122002 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred eleven million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 139 254 278 381 417 762 834 889 973 1143 1251 1778 1946 2286 2502 2667 2919 5334 5838 8001 8757 16002 17514 17653 35306 52959 105918 123571 158877 247142 317754 370713 741426 1112139 2224278 54903259 109806518 164709777 329419554 384322813 494129331 768645626 988258662 1152968439 2305936878 3458905317 6917810634 6972713893 7631553001 13945427786 15263106002 20918141679 22894659003 41836283358 45789318006 48808997251 53420871007 62754425037 68683977009 97617994502 106841742014 125508850074 137367954018 146426991753 160262613021 292853983506 320525226042 439280975259 480787839063 878561950518 961575678126 969207231127 1938414462254 2907621693381 5815243386762 6784450617889 8722865080143 13568901235778 17445730160286 20353351853667 40706703707334 61060055561001 122120111122002