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122069004 = 2232329101151
BaseRepresentation
bin1110100011010…
…10000000001100
322111200202012020
413101222000030
5222222202004
620040210140
73011366211
oct721520014
9274622166
10122069004
11629a5282
1234a69950
131c39c8a5
14122d7b08
15aab38d9
hex746a00c

122069004 has 96 divisors (see below), whose sum is σ = 312560640. Its totient is φ = 36960000.

The previous prime is 122068987. The next prime is 122069009. The reversal of 122069004 is 400960221.

It is not an unprimeable number, because it can be changed into a prime (122069009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 808329 + ... + 808479.

It is an arithmetic number, because the mean of its divisors is an integer number (3255840).

Almost surely, 2122069004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122069004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

122069004 is an abundant number, since it is smaller than the sum of its proper divisors (190491636).

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

122069004 is a wasteful number, since it uses less digits than its factorization.

122069004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 122069004 is about 11048.4842399308. The cubic root of 122069004 is about 496.0610562629.

The spelling of 122069004 in words is "one hundred twenty-two million, sixty-nine thousand, four".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 101 116 138 151 174 202 276 302 303 348 404 453 604 606 667 906 1212 1334 1812 2001 2323 2668 2929 3473 4002 4379 4646 5858 6946 6969 8004 8758 8787 9292 10419 11716 13137 13892 13938 15251 17516 17574 20838 26274 27876 30502 35148 41676 45753 52548 61004 67367 91506 100717 134734 183012 201434 202101 269468 302151 350773 402868 404202 442279 604302 701546 808404 884558 1052319 1208604 1326837 1403092 1769116 2104638 2653674 4209276 5307348 10172417 20344834 30517251 40689668 61034502 122069004