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122120020201001 = 7910146171331489
BaseRepresentation
bin11011110001000101001000…
…011011001000111000101001
3121000101120010011210210222012
4123301011020123020320221
5112001303300132413001
61111421055055205305
734502610641441534
oct3361051033107051
9530346104723865
10122120020201001
1135a0289a817459
1211843817816835
13531ab3a0cc154
1422228d7803a1b
15e1b94e2792bb
hex6f11486c8e29

122120020201001 has 16 divisors (see below), whose sum is σ = 124893339244800. Its totient is φ = 119377447488000.

The previous prime is 122120020200989. The next prime is 122120020201009. The reversal of 122120020201001 is 100102020021221.

It is a cyclic number.

It is not a de Polignac number, because 122120020201001 - 222 = 122120016006697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122120020201009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368232665 + ... + 368564153.

It is an arithmetic number, because the mean of its divisors is an integer number (7805833702800).

Almost surely, 2122120020201001 is an apocalyptic number.

It is an amenable number.

122120020201001 is a deficient number, since it is larger than the sum of its proper divisors (2773319043799).

122120020201001 is a wasteful number, since it uses less digits than its factorization.

122120020201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377840.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122120020201001 its reverse (100102020021221), we get a palindrome (222222040222222).

The spelling of 122120020201001 in words is "one hundred twenty-two trillion, one hundred twenty billion, twenty million, two hundred one thousand, one".

Divisors: 1 79 101 7979 46171 331489 3647509 4663271 26187631 33480389 368398409 2644950731 15305178619 1209109110901 1545823040519 122120020201001