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122020121200101 = 31314675996311759
BaseRepresentation
bin11011101111101000000101…
…111110101100010111100101
3121000001000021001012202102220
4123233220011332230113211
5111443134202011400401
61111303134141022553
734462443232106205
oct3357500576542745
9530030231182386
10122020121200101
11359744963a5493
1211828397854a59
1353115a94c2bb7
14221bb3bd54405
15e19053d40336
hex6efa05fac5e5

122020121200101 has 64 divisors (see below), whose sum is σ = 164915232768000. Its totient is φ = 80245348747200.

The previous prime is 122020121200091. The next prime is 122020121200169. The reversal of 122020121200101 is 101002121020221.

It is not a de Polignac number, because 122020121200101 - 217 = 122020121069029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020121202101) 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, 69369027660 + ... + 69369029418.

It is an arithmetic number, because the mean of its divisors is an integer number (2576800512000).

Almost surely, 2122020121200101 is an apocalyptic number.

It is an amenable number.

122020121200101 is a deficient number, since it is larger than the sum of its proper divisors (42895111567899).

122020121200101 is a wasteful number, since it uses less digits than its factorization.

122020121200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590.

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

Adding to 122020121200101 its reverse (101002121020221), we get a palindrome (223022242220322).

The spelling of 122020121200101 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty-one million, two hundred thousand, one hundred one".

Divisors: 1 3 131 393 467 599 631 1401 1759 1797 1893 5277 61177 78469 82661 183531 230429 235407 247983 279733 294677 377969 691287 821453 839199 884031 1053641 1109929 1133907 2464359 3160923 3329787 36645023 38602687 49513939 107610343 109935069 115808061 138026971 145400699 148541817 176511523 322831029 414080913 436202097 492050347 518336843 529534569 664847471 1476151041 1555010529 1994542413 23123009513 64458595457 67902126433 69369028539 87095018701 193375786371 203706379299 261285056103 310483768957 931451306871 40673373733367 122020121200101