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122000020023 = 37273108710459
BaseRepresentation
bin111000110011111000…
…1001001001000110111
3102122220101120011012010
41301213301021020313
53444324001120043
6132013535455303
711546163026400
oct1614761111067
9378811504163
10122000020023
1147815915832
121b789687533
13b67366a87b
145c94c089a7
15329086e133
hex1c67c49237

122000020023 has 48 divisors (see below), whose sum is σ = 192011458560. Its totient is φ = 68689482624.

The previous prime is 122000020013. The next prime is 122000020097. The reversal of 122000020023 is 320020000221.

It is not a de Polignac number, because 122000020023 - 210 = 122000018999 is a prime.

It is a super-2 number, since 2×1220000200232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122000019990 and 122000020008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000020013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11659368 + ... + 11669826.

It is an arithmetic number, because the mean of its divisors is an integer number (4000238720).

Almost surely, 2122000020023 is an apocalyptic number.

122000020023 is a deficient number, since it is larger than the sum of its proper divisors (70011438537).

122000020023 is a wasteful number, since it uses less digits than its factorization.

122000020023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11636 (or 11629 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 122000020023 its reverse (320020000221), we get a palindrome (442020020244).

The spelling of 122000020023 in words is "one hundred twenty-two billion, twenty thousand, twenty-three".

Divisors: 1 3 7 21 49 73 147 219 511 1087 1533 3261 3577 7609 10459 10731 22827 31377 53263 73213 79351 159789 219639 238053 512491 555457 763507 1537473 1666371 2290521 3888199 5344549 11368933 11664597 16033647 34106799 37411843 79582531 112235529 238747593 557077717 829932109 1671233151 2489796327 5809524763 17428574289 40666673341 122000020023