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122123010013020 = 223251674062641717
BaseRepresentation
bin11011110001000111111010…
…101000010111011101011100
3121000101211211112200000000200
4123301013322220113131130
5112001330411030404040
61111422311501223500
734503045014432622
oct3361077250273534
9530354745600020
10122123010013020
1135a04094459485
1211844310b61b90
13531b1c56573a3
142222adc917512
15e1ba769a9630
hex6f11faa1775c

122123010013020 has 72 divisors (see below), whose sum is σ = 372657999508704. Its totient is φ = 32371129193088.

The previous prime is 122123010013013. The next prime is 122123010013021. The reversal of 122123010013020 is 20310010321221.

122123010013020 is a `hidden beast` number, since 1 + 2 + 212 + 301 + 0 + 0 + 130 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122123010012984 and 122123010013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122123010013021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2031290799 + ... + 2031350918.

It is an arithmetic number, because the mean of its divisors is an integer number (5175805548732).

Almost surely, 2122123010013020 is an apocalyptic number.

122123010013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122123010013020 is an abundant number, since it is smaller than the sum of its proper divisors (250534989495684).

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

122123010013020 is a wasteful number, since it uses less digits than its factorization.

122123010013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062641899 (or 4062641894 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122123010013020 its reverse (20310010321221), we get a palindrome (142433020334241).

The spelling of 122123010013020 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, ten million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 30060 4062641717 8125283434 12187925151 16250566868 20313208585 24375850302 36563775453 40626417170 48751700604 60939625755 73127550906 81252834340 121879251510 146255101812 182818877265 243758503020 365637754530 678461166739 731275509060 1356922333478 2035383500217 2713844666956 3392305833695 4070767000434 6106150500651 6784611667390 8141534000868 10176917501085 12212301001302 13569223334780 20353835002170 24424602002604 30530752503255 40707670004340 61061505006510 122123010013020