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121210121010020 = 225721011224592049
BaseRepresentation
bin11011100011110101101110…
…001101001011101101100100
3120220011120111201221201120212
4123203311232031023231210
5111341401311434310040
61105443054425514552
734350066536101100
oct3343655615135544
9526146451851525
10121210121010020
1135691a18406999
1211717400342a58
1352830b07c06b3
1421d085b81a900
15e02e47b53d65
hex6e3d6e34bb64

121210121010020 has 72 divisors (see below), whose sum is σ = 299030683505400. Its totient is φ = 41146292812800.

The previous prime is 121210121010007. The next prime is 121210121010049. The reversal of 121210121010020 is 20010121012121.

It can be written as a sum of positive squares in 4 ways, for example, as 33285330190336 + 87924790819684 = 5769344^2 + 9376822^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121210121009977 and 121210121010004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612197045 + ... + 612395004.

It is an arithmetic number, because the mean of its divisors is an integer number (4153203937575).

Almost surely, 2121210121010020 is an apocalyptic number.

121210121010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121210121010020 is an abundant number, since it is smaller than the sum of its proper divisors (177820562495380).

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

121210121010020 is a wasteful number, since it uses less digits than its factorization.

121210121010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224592173 (or 1224592164 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121210121010020 its reverse (20010121012121), we get a palindrome (141220242022141).

The spelling of 121210121010020 in words is "one hundred twenty-one trillion, two hundred ten billion, one hundred twenty-one million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 1010 1414 2020 2828 3535 4949 7070 9898 14140 19796 24745 49490 98980 1224592049 2449184098 4898368196 6122960245 8572144343 12245920490 17144288686 24491840980 34288577372 42860721715 60005010401 85721443430 120010020802 123683796949 171442886860 240020041604 247367593898 300025052005 494735187796 600050104010 618418984745 865786578643 1200100208020 1236837969490 1731573157286 2473675938980 3463146314572 4328932893215 6060506050501 8657865786430 12121012101002 17315731572860 24242024202004 30302530252505 60605060505010 121210121010020